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  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!!<<*!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!s8W-!|
  |s8W-!s8W-!s8W-!!<<*!|
  |1''|
  |b!@%___|
  |3b"6b!U|
  |M,6r;%14!\!!!!.8Ou6I!!!",!!!!&#Qau+!&_ZCL&_2R%<P$@F@CFnE^akU|
  |De*R"B)q'FR$n!T!$b''5u]h'A,QB,5Jnnb%@@@R!J;DO"qUeh)F+G@BE/VE|
  |!;bdZ#FC/LErZ1?!(fUS7'8jaJcGcN|
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~V?v0 (Q)~p0
1 ~V?v0 (P)~p0
1 ~V?v0 (f)~p0
1 ~V?v0 (s)~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *|: ;bP7&c0!*Trigonometry|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f276 (arccsc)~p0
2 ~V?f278 (arccot)~p0
2 ~V?f256 (sin)~p0
2 ~V?f257 (cos)~p0
2 ~V?f258 (tan)~p0
2 ~V?f261 (sec)~p0
2 ~V?f260 (csc)~p0
2 ~V?f262 (cot)~p0
2 ~V?f272 (arcsin)~p0
2 ~V?f273 (arccos)~p0
2 ~V?f274 (arctan)~p0
2 ~V?f277 (arcsec)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *|: ;bP7&c0!*Hyperbolic|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f309 (arcsech)~p0
2 ~V?f304 (arcsinh)~p0
2 ~V?f294 (coth)~p0
2 ~V?f310 (arccoth)~p0
2 ~V?f306 (arctanh)~p0
2 ~V?f293 (sech)~p0
2 ~V?f288 (sinh)~p0
2 ~V?f289 (cosh)~p0
2 ~V?f290 (tanh)~p0
2 ~V?f305 (arccosh)~p0
2 ~V?f308 (arccsch)~p0
2 ~V?f292 (csch)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Logarithms ,F Powers|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f32 (log)~p0
2 ~V?f307 (ln)~p0
2 ~V?f291 (exp)~p0
2 ~V?c2 (e)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Standard Rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Logarithms ,F Powers|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Ht(?x^(-?y)):(1/?x^?y)~p0
3 ~Hs(exp(?z)):(e^?z)~p0
3 ~Hs(e^(ln(?x))):(?x)~p0
3 ~Hs(10^(log(?x))):(?x)~p0
3 ~Hs(?y^(log_?y(?x))):(?x)~p0
3 ~Hs(ln(e^?x)):(?x)~p0
3 ~Hs(log(10^?x)):(?x)~p0
3 ~Hs(log_?y(?y^?x)):(?x)~p0
3 ~He(ln(?u*?v)):(ln(?u)+ln(?v))~p0
3 ~He(log(?u*?v)):(log(?u)+log(?v))~p0
3 ~He(log_?y(?u*?v)):(log_?y(?u)+log_?y(?v))~p0
3 ~He(ln(?u/?v)):(ln(?u)-ln(?v))~p0
3 ~He(log(?u/?v)):(log(?u)-log(?v))~p0
3 ~He(log_?y(?u/?v)):(log_?y(?u)-log_?y(?v))~p0
3 ~He(ln(?u^?v)):(?v*ln(?u))~p0
3 ~He(log(?u^?v)):(?v*log(?u))~p0
3 ~He(log_?y(?u^?v)):(?v*log_?y(?u))~p0
3 ~He(ln(sqrt(?u))):(1/2*ln(?u))~p0
3 ~He(log(sqrt(?u))):(1/2*log(?u))~p0
3 ~He(log_?y(sqrt(?u))):(1/2*log_?y(?u))~p0
3 ~He(?z^(?x+?y)):(?z^?x*?z^?y)~p0
3 ~He(?z^(?x-?y)):(?z^?x*?z^(-?y))~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *|: ;bP7&c0!*Trigonometry|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})+# b$L" *|: ;bP7&c0!*Simplify ,M negation|
  | and common zeros}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Hs(sin(-?x)):(-sin(?x))~p0
4 ~Hs(cos(-?x)):(cos(?x))~p0
4 ~Hs(tan(-?x)):(-tan(?x))~p0
4 ~Hs(sin('p)):(0)~p0
4 ~Hs(sin(?n*'p)):(0)~p0
4 ~Hs(cos(1/2*'p)):(0)~p0
4 ~Hs(cos(?n/2*'p)):(0)~p0
4 ~Hs(-(cos(?x))^2-(sin(?x))^2):(-1)~p0
4 ~Hs(cos('p/2)):(0)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b$L" *|: ;bP7&c0!*Transform to basic|
  | types}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht(tan(?x)):((sin(?x))/(cos(?x)))~p0
4 ~Ht(csc(?x)):(1/(sin(?x)))~p0
4 ~Ht(sin(?x)):(1/(csc(?x)))~p0
4 ~Ht(sec(?x)):(1/(cos(?x)))~p0
4 ~Ht(cos(?x)):(1/(sec(?x)))~p0
4 ~Ht(cot(?x)):((cos(?x))/(sin(?x)))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Trig Addition|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht(cos(?x+?y)):(cos(?x)*cos(?y)-sin(?x)*sin(?y))~p0
4 ~Ht(sin(?x+?y)):(cos(?x)*sin(?y)+sin(?x)*cos(?y))~p0
4 ~Ht(cos(2*?x)):(2*(cos(?x))^2-1)~p0
4 ~Ht(sin(2*?x)):(2*cos(?x)*sin(?x))~p0
4 ~Ht(sin(?n*?x)):(cos((?n-1)*?x)*sin(?x)+cos(?x)*~
 sin((?n-1)*?x))~p0
4 ~Ht(cos(?n*?x)):(cos(?x)*cos((?n-1)*?x)-sin(?x)*~
 sin((?n-1)*?x))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})/# b$L" *|: ;bP7&c0!*Transform ,M into|
  | another flavor of trig function}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((sin(?x))^2):(1-(cos(?x))^2)~p0
4 ~Ht((cos(?x))^2):(1-(sin(?x))^2)~p0
4 ~Ht((tan(?x))^2):((sec(?x))^2-1)~p0
4 ~Ht((sec(?x))^2):((tan(?x))^2+1)~p0
4 ~Ht((csc(?x))^2):((cot(?x))^2+1)~p0
4 ~Ht((cot(?x))^2):((csc(?x))^2-1)~p0
4 ~Hs((sin(?x))^2+(cos(?x))^2):(1)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})b @# b%4" *|: ;bP7&c0!*substituting |
  |z,]tan,Hx,O2,I into a rational function in sin,Hx,I and cos,H|
  |x,I}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Hs(cos(2*arctan(?z))):((1-?z^2)/(1+?z^2))~p0
4 ~Hs(sin(2*arctan(?z))):(2*?z/(1+?z^2))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *|: ;bP7&c0!*Other rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((cos(?x))^2):(1/2*(cos(2*?x)+1))~p0
4 ~Ht((sin(?x))^2):(1/2*(-cos(2*?x)+1))~p0
4 ~Ht(cos(?x)*sin(?x)):(1/2*sin(2*?x))~p0
4 ~Hs(sin(arccos(?x))):(sqrt(-?x^2+1))~p0
4 ~Hs(cos(arcsin(?x))):(sqrt(-?x^2+1))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b!T" *|: ;bP7&c0!*Hyperbolic|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})+# b$L" *|: ;bP7&c0!*Simplify ,M negation|
  | and common zeros}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Hs(sinh(-?x)):(-sinh(?x))~p0
4 ~Hs(cosh(-?x)):(cosh(?x))~p0
4 ~Hs(tanh(-?x)):(-tanh(?x))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b$L" *|: ;bP7&c0!*Transform into |
  |other types}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((sinh(?x))^2):((cosh(?x))^2-1)~p0
4 ~Ht((cosh(?x))^2):(1+(sinh(?x))^2)~p0
4 ~Ht((tanh(?x))^2):(1-(sech(?x))^2)~p0
4 ~Ht(sinh(?x)):((e^?x-e^(-?x))/2)~p0
4 ~Ht(cosh(?x)):((e^?x+e^(-?x))/2)~p0
4 ~Ht(tanh(?x)):((e^?x-e^(-?x))/(e^?x+e^(-?x)))~p0
4 ~Ht(tanh(?x)):((sinh(?x))/(cosh(?x)))~p0
4 ~Hs((cosh(?x))^2-(sinh(?x))^2):(1)~p0
4 ~Hs(-(cosh(?x))^2+(sinh(?x))^2):(-1)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$L" *|: ;bP7&c0!*Other hyperbolic|
  | rules}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((cosh(?x))^2):(1/2*(cosh(2*?x)+1))~p0
4 ~Ht((sinh(?x))^2):(1/2*(cosh(2*?x)-1))~p0
4 ~Ht(sinh(2*?x)):(2*cosh(?x)*sinh(?x))~p0
4 ~Ht(cosh(2*?x)):(2*(cosh(?x))^2-1)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Constants|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?c6 (C)~p0
2 ~V?c5 ('o)~p0
2 ~V?c1 ('p)~p0
2 ~V?c0 (c)~p0
2 ~V?c0 (b)~p0
2 ~V?c0 (a)~p0
2 ~V?c4 (i)~p0
2 ~V?c3 ('N)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Variables|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?v0 (n)~p0
2 ~V?v0 (h)~p0
2 ~V?v0 (v)~p0
2 ~V?v0 (u)~p0
2 ~V?v0 (w)~p0
2 ~V?v0 ('f)~p0
2 ~V?v0 ('r)~p0
2 ~V?v0 ('q)~p0
2 ~V?v0 (r)~p0
2 ~V?v0 (t)~p0
2 ~V?v0 (z)~p0
2 ~V?v0 (y)~p0
2 ~V?v0 (x)~p0
2 ~V?v0 (k)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP7&c0!*Functions|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f162 (max)~p0
2 ~V?f161 (min)~p0
2 ~V?f132 (FromSpherical)~p0
2 ~V?f130 (FromCylindrical)~p0
2 ~V?f128 (FromPolar)~p0
2 ~V?f144 (RowsOf)~p0
2 ~V?f146 (ColsOf)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b'4" *|: ;bP7&c0!*Names to the back|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~V?f0 (dlim)~p0
3 ~V?f0 (SAEQN)~p0
3 ~V?f0 (SA)~p0
3 ~V?f0 (D)~p0
3 ~V?f0 (N)~p0
3 ~V?v0 (xSV)~p0
3 ~V?d16 (d)~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#@}):# b'4" *|: ;bP8&c0!*Enter a parametrization|
  | for your curve and starting and stopping values for &c0!&t,N|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(s=(cos(t),sin(t)))~p0
0 ~d~A(a=0)~p0
0 ~d~A(b=2*'p)~p0
0 ~d~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP8&c0!* |
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_})"# b'4`fb#@}" *|: ;bP8&c0!*Calculate|
  |`f } }& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_})"# b'4" *|: ;bP8&c0!* `g|
  |Mc @^b:8|
  |!!!!)!!!O'!!!0l!!rW+"%E@m!"Ao.!!!!=!!E9%!<W<%!!N?.!Xeu.!!!!!|
  |!!!!&!%e6\!!N@T!A4?P!!!!9!!!!=!!36!!!!!"!k\L5!!!!!+p%fHFE;_+|
  |!!$kIAI8ti!##0bGOr(AGOr(JGP+3DLh7+3!!!!%!!!$O!!!!&!!**%!#tt=|
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  |!!<3*!$2+?!!!!$!!<3B!$2+?!!!!)!!!)s!!!!!!!!!!!!!!%!!30Q!!!!(|
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  |!!!!&!"Ar3!#tt=!rDrt!!*&s!!!!!!!!%]5R.8hBiG]F+EM+2+EqBl@;Tp\|
  |Yuh!DZ!hkJ5Tk:B%D[2\!!J*i!A+9O!!N?*!<N6$!!!!"!!!!&s8N-$!!NB&|
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  |!!!!&!$21U!!N?A!YYP6!#ttY!!!!&!%S*a!!N?F!YYP6!$_IH!!!!&!!E?:|
  |!!`LG!rN#u!<3$!!!!!!!!!!%!!`NV!!!!)!!NH#!!!!"!!!!!!!!!%!!iTW|
  |!!!!;!"/lS!$2+Z!#knY!%.ah!!<3G!!<4C!!E:D!!E9H!%S$l!%S$k!$)%Z|
  |!$2+Z!!!!%!!WHU!!!!&!<3*,!!N?&!YbV7!'gMn!!!!=s7cZm!!!!!!K[9]|
  |!!!!!&-)b:ASl-\APO@hDc.^%!,c4^GOr(AGOr(JGP+3DLh7+3!!!!%!!rZX|
  |!!!!+!"B8j!!3-c1,8h0!"f2_!!!!&!#,JK!#tth!rDrt!!*&j!!!!!!!*+^|
  |!XA]*BiGWD+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B%D[2\!!J*i!A+9O!!E9/|
  |!Up'h!"Ao7$8MS]!%S$`!!!!%H";/1!%.aO!#bhA!!!!&!$)+T!#tt?!rDrt|
  |!!*&j!!!!!!!*+^!XA]*BiGWD+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B%D[2\|
  |!!J*i!A+9O!!E9.!Up'h!"Ao8$8MS]!!3-@!!!!%FC]H'!,V]@!#bhA!!!!&|
  |!%.g^!#tti!rDrt!!*&j!!!!!!!*+^!XA]*BiGWD+EM+2+EqBl@;Tp\Yuh!D|
  |Z!hkJ5Tk:B%D[2\!!J*i!A+9O!!E9/!Up'h!"Ao7$8MS]!%\*t!!!!%FC]K(|
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  |&/YBIqhS)VYugu=Z!hkJ5Tk:B%D[2\!!J*i!A+9O!!E9.!Up'h!"Ao8$8MS]|
  |!$_IY!!!!%p?))2!#GVO!#bhR!!!!&!$)+T!"&]<$8MS]!"f2O!!!!#!&lDk|
  |!!N??!YbV7!$_Id!!!!.!$DV(!!E9HpZDMV!#PCm!#GVO!!N?@!YbV7!$_Im|
  |!!!!.!%A71!!E9Hpuh\X!#PFo!#GVO!!iQC!r;ls!!!!!!!!!!!!E9%!A+9O|
  |!!`K2!rN#u!!!!!!!!!!!!!!%!"/fZ!!!!=!!*/u!!!!!!k\L5!!!!!+p%fN|
  |FE;_+!!$kINsZEu!##0bGOr(AGOr(JGP+3DLh7+3!!!!%!"8l[!!!!%!!r\q|
  |!!!!%!!30Q!!!!%!!<6R!!!!%!!**P!!!!%!!NDm!!!!%!!WJn!!!!%!!`Po|
  |!!!!%!"&br!!!!%!"/hs!!!!%!"8nt!!!!%!!<6R!!!!%!!30Q!!!!%s8N*I|
  |!!!!=!!*/u!!!!!!k\L5!!!!!+p%fHFE;_+!!$kIO9uO!!##0bGOr(AGOr(J|
  |GP+3DLh7+3!!!!%!!NBT!!!!%!!E>l!!!!%s8N*I!!!!%s8N*I!!!!%!!!$O|
  |!!!!%!!*,i!!!!%!!NDm!!!!2!"T8\9hYO(!.m[7!%\*M!.b+M!%\*M!)rpu|
  |!!<3$!!!!!|
  |1))|
  |b" b K___|
  |3b,;b)Z|
  |M,6r;%14!\!!!!.8Ou6I!!!"L!!!!L#Qau+!'c5TYlFb(%<P$@F@CFnE^akU|
  |De*R"B)q'FR$n!T![pW.5u`*!m@$V0_CuBejfUcT>7StNZLsB=U_ecMnSCWm|
  |'>Iu[M1<m=*8-2'pDk#qr+KHQeQE))o?0"qF'Kq__EU9V(uUq"V1/_c$<"mP|
  |!T(`S!T&=()uosuQ8XtN$JIDJhoS>D-HC&?PSs;5hS\`8PXZWW.sDo?/gsO(|
  |8*H*+TD&6DP\l'9'*(LSdYRmYiiF+'S/'CG`ceQt=4KHl>`f*XS$6t;:\_gN|
  |0j,;%LSBa_,]!Z!F"2PTIif"DU%fp#/l?HG3'r`5_$W`=5)-'7)iA6(=pH<9|
  |P!FP:>o>l4#39h[G:X@qOP&EXU==qK3jt4d>JSrgjGNJu*t:SJ8el=E.ZJ#m|
  |Mt:#hE(B`*J@J@Bl@=apRn7WBX^3BTJ7=SLJ5S$n(R]INj;hI=PYJGkG0?`*|
  |i./jEm2G@ANluG9ZDF%0G8C8\iFk_@g1,/f0107o"-UmNPqG-CFX(sZ[fQ4!|
  |ZOUGJbX*!O1#1i7/<Rl4<ucb-J>@B-5:[il'U)HDo)kC)q.bP/m1t%bCn4,.|
  |(Gq;ua_HI>XWCJ!KD9&KnG]Zf*GIP:Ai"5,SYsG/q?)-L*!*2/o&onfq-aP1|
  |)@mSBk,33XOuK[*iPpnbR%c;pmfBpg?0Gfe5?UqPMb";U]lc-Va]K*<c'O%Y|
  |]cc_BoC&?DJl_LkZ2Jk<"]tsWZOBZB)5,2/5ac261<TZ/rW"&s-t3XAMVS74|
  |!!#SZ:.26O@"J@Y|
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(sqrt((Derivative(t)*s_1)^2+(Derivative(t)*s_~
 2)^2))~p0
0 ~A(sqrt((Derivative(t)*s_1)^2+(Derivative(t)*s_~
 2)^2)=1)~p0
1 ~sb/^!!    }
b00(!  c#T"!c"4!_c/__c/__!" }
^ _~
 ~Q
]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#@})b G# b'4" *|: ;bP8&c0!*Enter a|
  | function &c0!&f&c0!* in terms of your parameter&c0!& t&c0!*,L|
  | and calculate the line integral with respect to &c0!&s&c0!*,N|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP8&c0!*`g|
  |Mc C%b<$|
  |!!!!)!!!\I!!!0l!!rW+"+11N!"Ao.!!!!=!!E9%!<W<%!!N?.!Xeu.!!!!!|
  |!!!!&!%e6\!!NA%!A4?P!!!!9!!!!=!!36!!!!!"!k\L5!!!!!+p%fHFE;_+|
  |!!$kINsZFB!##0bGOr(AGOr(JGP+3DZt9jH!!!!%!!!$O!!!!&!!**%!#tt=|
  |!rDrt!!*&i!!!!!!!!%]5Qh&eBiG]F+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B|
  |&,^YE!!KZ@!A+9O!!N?'!XSi,!WW3#!!!!.!"B8j!!*'"!!!!%!3#qu!$D7n|
  |!!<3*!$2+?!!!!$!!<3B!$2+?!!!!)!!!)s!!!!!!!!!!!!!!%!!30Q!!!!(|
  |!!!)u!<<*!!!E9%!A+9O!!N?)!A4?P!!!!!!!!!&!!!',!!N?&!W`9$!<<*!|
  |!!!!&!"Ar3!#tt=!rDrt!!*&s!!!!!!!!%]5R.8hBiG]F+EM+2+EqBl@;Tp\|
  |Yuh!DZ!hkJ5Tk:B&,^YE!!KZ@!A+9O!!N?*!<N6$!!!!"!!!!&s8N-$!!NB&|
  |!A4?P!!!!:!!!!)!!!)s!!!!"!!!$!!!!!%!!NBT!!!!&!#YhP!!N@!!YYP6|
  |!+#XC!!!!&!#YhP!!N@O!YYP6!/pmq!!!!)!!!)s!!!!!!!!$!!!!!%!!WHU|
  |!!!!&!$21U!!N?g!YYP6!($Z*!!!!&!%S*a!!N?k!YYP6!(d.n!!!!&!!E?:|
  |!!`Lm!rN#u!<3$!!!!!!!!!!%!!`NV!!!!)!!NH#!!!!"!!!!!!!!!%!!iTW|
  |!!!!;!"/lS!$2,+!#ko*!%.b8!!<3m!!<4i!!E:j!!E9n!%S%=!%S%<!$)&+|
  |!$2,+!!!!%!!WHU!!!!&!<3*,!!N?&!YbV7!+c->!!!!=s7cZm!!!!!!K[9]|
  |!!!!!&-)b:ASl-\APO@hDc.^%!,c4^GOr(AGOr(JGP+3DZt9jH!!!!%!!rZX|
  |!!!!+!"B8j!!3.31,8h0!"f2`!!!!&!#,JK!#tu9!rDrt!!*&j!!!!!!!*+^|
  |!XA]*BiGWD+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B&,^YE!!KZ@!A+9O!!E9/|
  |!Up'h!"Ao7$8MS]!)W_1!!!!%H";/1!%.aO!#bhA!!!!&!$)+T!#ttI!rDrt|
  |!!*&j!!!!!!!*+^!XA]*BiGWD+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B&,^YE|
  |!!KZ@!A+9O!!E9.!Up'h!"],;$8MS]!"8iJ!!!!'AohKp!"!aX!$)%D!!WF6|
  |!!N?@!YbV7!)`eE!!!!=s76<h!!!!!!K[9]!!!!"&-)b:ASl-\APO@hDc.^%|
  |!,c4^GOr(AGOr(JGP+3DZt9jH!!!!%!"&`Y!!!!%!!r\q!!!!.!%/+/!!E:"|
  |FCY@O!![OU!!WEO!!N?@!YbV7!(d/*!!!!=s76<h!!!!!!K[9]!WW3#&-)b:|
  |@VpBh!!$hRH3t/D!##0bGOr(AGOr(JGP+3DZt9jH!!!!%!!rZX!!!!%!"&br|
  |!!!!.!#5hr!!E9np>u>T!#P@k!#GVO!!N?@!YbV7!$_Ia!!!!+!$)D%!!3-F|
  |.m3k4!#bi0!!!!&!$D=W!"Ap"$8MS]!(d/5!!!!%pZM;6!#GVO!#bhR!!!!&|
  |!%@s`!"Ap"$8MS]!(d/>!!!!%puqM:!#GVO!#bhR!!!!&!$VIY!#tt?!rDrt|
  |!!*&b!!!!!!!!%]!XAc,GuG7SCi<d"&1%;VqhQ$qYugu=Z!hkJ5Tk:B&,^YE|
  |!!KZ@!A+9O!!E9/!Up'h!"&]4$8MS]!!3-E!!!!#!%[X2!!iQT!r;ls!!!!!|
  |!!!!!!!E9%!A+9O!!`K1!rN#u!!!!!!!!!!!!!!%!"/fZ!!!!=!!*/u!!!!!|
  |!k\L5!!!!!+p%fNFE;_+!!$kIHO:8E!##0bGOr(AGOr(JGP+3DZt9jH!!!!%|
  |!"8l[!!!!%!"&br!!!!%!!30Q!!!!%!!<6R!!!!%!!**P!!!!%!!NDm!!!!%|
  |!!WJn!!!!%!!`Po!!!!%!!r\q!!!!%!"/hs!!!!%!"8nt!!!!%!!<6R!!!!%|
  |!!30Q!!!!%s8N*I!!!!=!!*/u!!!!!!k\L5!!!!!+p%fHFE;_+!!$kIHjUAF|
  |!##0bGOr(AGOr(JGP+3DZt9jH!!!!%!!NBT!!!!%!!E>l!!!!%s8N*I!!!!%|
  |s8N*I!!!!%!!!$O!!!!%!!*,i!!!!%!!NDm!!!!2!"T8\9hYO(!2r@]!%\*M|
  |!2fes!%\*M!)rpu!!<3$!!!!!|
  |1))|
  |b"Fb K___|
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  |De*R"B)q'FR$n!T!aSAc5u`*!m@):cK-1SV_jl"<DYrpO'"9Lj,0[nQ<=n4=|
  |#t4?T=cJ`*>QP4HXL4_F`)#h3.,:c_e+)2)"'$2e]*Cn!fMuKd%XeQI*pCI)|
  |*>;YkY4-bR]&$T[$mW&K1Bq])?P[lMELIeHnVBHRpO8HTn(ka]n9EH`o-e&m|
  |2LU5=k\hnuGh(O:YEf@KDZD3T+Jp!>CKDcHCm89r>C&V84E^L%/Q[5.?2A0W|
  |s5,^dJ@LDZE_^<C1P<J`pAi^M#UL6gCVQ4+lQ3>2QR_FbdQq-38B0%t[VeqJ|
  |3ENl5M,r,nh!bI2)r$ZG.cegpg%DW2@&uLQL?+:V`!'BiKdMu+=l.1Acgo![|
  |U(;-aK<_$[fs#DG-&dhfbg_T14oI(ErKFH>SqGI.QK6sRb$EtGR]gV=FL:SC|
  |'3b9[(p`&IR>2O7eK$'s.`u7*PZJ?chG]<%m1>\ifV9F>Wq7mE:Vt&;Vc&Do|
  |Kk,?L564/Oj=U'\(A=7c"r'R3g;04Uqs'23d;+q0S#J!f]P%R4WbGa&Q\1,e|
  |h"$+PHA=+O2J+qH(].0,VJi!0Kfd3)h@t'2X<hbpQ]RD_Y/Pne/a'eF?3dXK|
  |>2XR&CuZ2j;VmgJhS<7Op/,Yg\?M%l)D0G,S3+!;q>U#mY`ETYPb742]JJrU|
  |=Gr\fh`T*"nVqqsF4q>N[r9cR1u'L-iuc`Y>V&5.kDn*]e#EM1?]bPtQ35uF|
  |M^'_b+D3?_&Vj.+U7tok`^#dM$3k8@FK"<MTpAK0>!<sAq/iRse+!Zg7:T6G|
  |W[d!.!!!!j78?7R6=>BF|
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(f=t^2)~p0
0 ~d~A(Integral(f*sqrt((Derivative(t)*s_1)^2+(Derivative(~
 t)*s_2)^2)*d*t):(a):(b))~p0
0 ~A(Integral(f*sqrt((Derivative(t)*s_1)^2+(Derivative(~
 t)*s_2)^2)*d*t):(a):(b)=82.683404446171409)~p0
1 ~sb/^!!    }
$&!  c#T"!c&H#_c/__c/__ }
^ _~Q
]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#@})0# b'4" *|: ;bP8&c0!*Calculate|
  | the line integral with respect to &c0!&x&c0!*,N|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#@})!# b'4`f }" *|: ;bP8&c0!*`g|
  |Mb9\b4N|
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  |!!!!&!$VIQ!!N@1!A4?P!!!!9!!!!=!!36!!!!!"!k\L5!!!!!+p%fHFE;_+|
  |!!$kIV$[a)!##0bGOr(AGOr(JGP+3D.V951!!!!%!!!$O!!!!&!!**%!#tt=|
  |!rDrt!!*&i!!!!!!!!%]5Qh&eBiG]F+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B|
  |&/occ!!Fc`!A+9O!!N?'!XSi,!WW3#!!!!.!"B8j!!*'"!!!!%!+,^+!$D7c|
  |!!<3*!$2+?!!!!$!!<3B!$2+?!!!!)!!!)s!!!!!!!!!!!!!!%!!30Q!!!!(|
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  |!!!!&!"Ar3!#tt=!rDrt!!*&s!!!!!!!!%]5R.8hBiG]F+EM+2+EqBl@;Tp\|
  |Yuh!DZ!hkJ5Tk:B&/occ!!Fc`!A+9O!!N?*!<N6$!!!!"!!!!&s8N-$!!NB&|
  |!A4?P!!!!:!!!!)!!!)s!!!!"!!!$!!!!!%!!NBT!!!!&!"o>I!!N?i!YYP6|
  |!)W_/!!!!&!<3*,!!N?&!YbV7!(6er!!!!=s76<h!!!!!!K[9]!!!!"&-)b:|
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  |!!3-gG[pdS!#bhA!!!!&!#5PL!#ttI!rDrt!!*&j!!!!!!!*+^!XA]*BiGWD|
  |+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B&/occ!!Fc`!A+9O!!E9,!Up'h!"],7|
  |$8MS]!"8iB!!!!'Ap@iu!"!aX!$)%D!!WEB!!N?@!YbV7!(6f0!!!!=s76<h|
  |!!!!!!K[9]!!!!"&-)b:ASl-\APO@hDc.^%!,c4^GOr(AGOr(JGP+3D.V951|
  |!!!!%!!WHU!!!!%!!`Po!!!!+!$DV(!!3-gFCY@O!#bhB!!!!&!#5PL!#tta|
  |!rDrt!!*&j!!!!!!!!%]!XAc,GuG7SCi<d"&1mk^qhQs6Yugu=Z!hkJ5Tk:B|
  |&/occ!!Fc`!A+9O!!E9,!Up'h!!rW0$8MS]!$hOZ!!!!"!#frB!!!!&!#ktR|
  |!#tt?!rDrt!!*&b!!!!!!!!%]!XAc,GuG7SCi<d"%cmZjqhXVHYugu=Z!hkJ|
  |5Tk:B&/occ!!Fc`!A+9O!!E9+!Up'h!"&]2$8MS]!!3->!!!!#!%d^3!!iQS|
  |!r;ls!!!!!!!!!!!!E9%!A+9O!#ttD!rDrt!!!!"!!!!!!!!)5!XA]*GuGmg|
  |D.Rg1&1mk^qhR!7Yugu=Z!hkJ5Tk:B&/occ!!Fc`!A+9O!!E9-!Up'h!!E9+|
  |!A+9O!!E9'!A+9O!!E9(!A+9O!!E9&!Up'h!!E9*!Up'h!!E9,!Up'h!!E9-|
  |!A+9O!!E9(!A+9O!!E9'!@IjI!$)%=!rDrt!!!!"!!!!!!!!)5!W`9$GuGmg|
  |D.Rg1&1mk^qhR$8Yugu=Z!hkJ5Tk:B&/occ!!Fc`!A+9O!!E9*!Up'h!!E9)|
  |!@IjI!!N?%!@IjI!!N?%!A+9O!!E9%!Up'h!!E9&!Up'h!"f27"ss<M!#P\H|
  |7SQTN!!!"+!!!!C!!!"*!!!!C!!!!u!!!!$!!!!!|
  |1))|
  |b!=b A___|
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  |?B2lZ`#-<>pq5FuVRS99#Po&7KO?BPTJ&qBi_dFcUkA_&rZbngS9''LG$nG!|
  |)B0#jQE8q\X^hbQ!AReW:LBDJU<u;[/0jb_<ATecmmg*`$DI\j7879dq19J2|
  |R@@_^.nu?,UT%"k4#'01b!pqr(F<"OnTgLZej,f'bPm*q]VLF\.FWJG:90;"|
  |@u>l?]Mu83\i["I3$*$uocmR/orjVI%a&q4?/GLNjb:9pL@PCth-k1djOLQU|
  |7]kWtWDr54^PREj.N9e7cJ;Xj8m&&=JBuE]0"\K4#<!aggc$G@LuhpckhLT?|
  |lm)mlX7,Ujs#\6eCna-0<-bXASS-*@".PB&0AAP)?#I<)SMPK[8$)(<Au+Sh|
  |X-&p9QaO=V2!ta2qa0>Wd't_cmL.8MqsUUR2a?cT!!!!!8OZBBY!QNJ|
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(Derivative(t)*s_1)~p0
0 ~A(Derivative(t)*s_1=-sin(t))~p0
1 ~sb/^!!    }
b00(!  c#T"!c"H"_c/__c/__!" }
^ _~
 ~A(Integral(f*(Derivative(t)*s_1)*d*t):(a):(b))~p0
0 ~A(Integral(f*(Derivative(t)*s_1)*d*t):(a):(b)=~
 39.478417586276414)~p0
1 ~sb/^!!    }
$&!  c#T"!c&H#_c/__c/__ }
^ _~Q
]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#@})0# b'4" *|: ;bP8&c0!*Calculate|
  | the line integral with respect to &c0!&y&c0!*,N|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#@})!# b'4`f }" *|: ;bP8&c0!*`g|
  |Mb9\b4N|
  |!!!!)!!!Bo!!!-.!!rW+!g*Qb!!rW*!!!!=!!E9%!<W<%!!N?.!Xeu.!!!!!|
  |!!!!&!$VIQ!!N@1!A4?P!!!!9!!!!=!!36!!!!!"!k\L5!!!!!+p%fHFE;_+|
  |!!$kIJ-li=!##0bGOr(AGOr(JGP+3D).jB+!!!!%!!!$O!!!!&!!**%!#tt=|
  |!rDrt!!*&i!!!!!!!!%]5Qh&eBiG]F+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B|
  |%afLn!!F0O!A+9O!!N?'!XSi,!WW3#!!!!.!"B8j!!*'"!!!!%!+5d,!$D7c|
  |!!<3*!$2+?!!!!$!!<3B!$2+?!!!!)!!!)s!!!!!!!!!!!!!!%!!30Q!!!!(|
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  |!!!!&!"Ar3!#tt=!rDrt!!*&s!!!!!!!!%]5R.8hBiG]F+EM+2+EqBl@;Tp\|
  |Yuh!DZ!hkJ5Tk:B%afLn!!F0O!A+9O!!N?*!<N6$!!!!"!!!!&s8N-$!!NB&|
  |!A4?P!!!!:!!!!)!!!)s!!!!"!!!$!!!!!%!!NBT!!!!&!"o>I!!N?i!YYP6|
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  |ASl-\APO@hDc.^%!,c4^GOr(AGOr(JGP+3D).jB+!!!!%!!WHU!!!!+!"B8j|
  |!!3-gH"6mT!#bhA!!!!&!#5PL!#ttI!rDrt!!*&j!!!!!!!*+^!XA]*BiGWD|
  |+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B%afLn!!F0O!A+9O!!E9,!Up'h!"],7|
  |$8MS]!"8iB!!!!'ApIp!!!m[W!$)%E!!WEB!!N?@!YbV7!(?l1!!!!=s76<h|
  |!!!!!!K[9]!!!!"&-)b:ASl-\APO@hDc.^%!,c4^GOr(AGOr(JGP+3D).jB+|
  |!!!!%!!WHU!!!!%!!`Po!!!!+!$DV(!!3-hFCY@O!#bhA!!!!&!#5PL!#tta|
  |!rDrt!!*&j!!!!!!!!%]!XAc,GuG7SCi<d"%>=c^qhW`/Yugu=Z!hkJ5Tk:B|
  |%afLn!!F0O!A+9O!!E9,!Up'h!!rW0$8MS]!$hOZ!!!!"!#frB!!!!&!#ktR|
  |!#tt?!rDrt!!*&b!!!!!!!!%]!XAc,GuG7SCi<d"&$Q$6qhQ-tYugu=Z!hkJ|
  |5Tk:B%afLn!!F0O!A+9O!!E9+!Up'h!"&]2$8MS]!!3->!!!!#!%d^3!!iQS|
  |!r;ls!!!!!!!!!!!!E9%!A+9O!#ttD!rDrt!!!!"!!!!!!!!)5!XA]*GuGmg|
  |D.Rg1%>=c^qhWc0Yugu=Z!hkJ5Tk:B%afLn!!F0O!A+9O!!E9-!Up'h!!E9+|
  |!A+9O!!E9'!A+9O!!E9(!A+9O!!E9&!Up'h!!E9*!Up'h!!E9,!Up'h!!E9-|
  |!A+9O!!E9(!A+9O!!E9'!@IjI!$)%=!rDrt!!!!"!!!!!!!!)5!W`9$GuGmg|
  |D.Rg1%>=c^qhWf1Yugu=Z!hkJ5Tk:B%afLn!!F0O!A+9O!!E9*!Up'h!!E9)|
  |!@IjI!!N?%!@IjI!!N?%!A+9O!!E9%!Up'h!!E9&!Up'h!"f27"ss<M!#P\H|
  |7SQTN!!!",!!!!C!!!"+!!!!C!!!!u!!!!$!!N?&|
  |1))|
  |b!>b A___|
  |3b(7b&L|
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  |De*R"B)q'FR$n!T!Er&_5u_NKm?l92_]T4RES:BlZ?pP39EhC$*Jl/eP-(k5|
  |lP457c5@*:*d9"$^DprY@S2gsUgtJkVDKpu0q'r<0?#^AgON,KU]`]m/Rr^h|
  |:)]I1]Fq:/!erUIpm&in'P4@\RAuSS:GODsgdZdLqHq=?=Feo&MD1`h\VY&1|
  |1GdcuN/pt'r0]N'Kf;*F1t4/)jAA;,r1+q+]r>+$VLH?GQa3'jB'<IS.Jfg_|
  |aBK1Y9@Lj\e!mn&M@BWj2CCKNe$aES_1H-6#p7SS$YG(VXnER2(\i.)^o103|
  |Ok_SM6fHfc2.<jKe=a^*D!.-XCgFA`):g_S3L6/D2/(SI'>81i\%%\LeDhjp|
  |hI9,hpg.pKnp#nHnmL/;>l5A%B-CN\095KI5-F^&;,#"RLfT9#gFm(*KIXmR|
  |)kUfHETBYXEhjj=dZ>G_8<,MP7iIO,5)Q1$&aqN3!!!!!8OZBBY!QNJ|
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(Derivative(t)*s_2)~p0
0 ~A(Derivative(t)*s_2=cos(t))~p0
1 ~sb/^!!    }
b00(!  c#T"!c"H"_c/__c/__!" }
^ _~
 ~A(Integral(f*(Derivative(t)*s_2)*d*t):(a):(b))~p0
0 ~A(Integral(f*(Derivative(t)*s_2)*d*t):(a):(b)=~
 12.566370654307079)~p0
1 ~sb/^!!    }
$&!  c#T"!c&H#_c/__c/__ }
^ _~Q
]|Expr|[#b @`bb#_b#_b#_}) # b'4}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_}`fb#@})b B# b'4" *|: ;bP8&c0!*Calculate|
  | a work or circulation integral for a vector field &c0!&F ,] |
  |P &c0!%i&c0!& ,K Q&c0!% j&c0!*,N}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *|: ;bP8&c0!*`g|
  |Mb?0b8^|
  |!!!!)!!"*=!!!.C!!rW+!uV1@!!rW*!!!!@!!E9%!<W<%!!N?.!Xeu.!!!!!|
  |!!!!&!%%aU!!NB3!A4?P!!!!9!!!!=!!36!!!!!"!k\L5!!!!!+p%fHFE;_+|
  |!!$kI;[O'V!##0bGOr(AGOr(JGP+3DH=d^c!!!!%!!!$O!!!!&!!**%!#tt=|
  |!rDrt!!*&i!!!!!!!!%]5Qh&eBiG]F+EM+2+EqBl@;Tp\Yuh!DZ!hkJ5Tk:B|
  |&5dZE!!IU[!A+9O!!N?'!XSi,!WW3#!!!!.!"B8j!!*'"!!!!%!=Sr.!$D7g|
  |!!<3*!$2+?!!!!$!!<3B!$2+?!!!!)!!!)s!!!!!!!!!!!!!!%!!30Q!!!!(|
  |!!!)u!<<*!!!E9%!A+9O!!N?)!A4?P!!!!!!!!!&!!!',!!N?&!W`9$!<<*!|
  |!!!!&!"Ar3!#tt=!rDrt!!*&s!!!!!!!!%]5R.8hBiG]F+EM+2+EqBl@;Tp\|
  |Yuh!DZ!hkJ5Tk:B&5dZE!!IU[!A+9O!!N?*!<N6$!!!!"!!!!&s8N-$!!NB&|
  |!A4?P!!!!:!!!!)!!!)s!!!!"!!!$!!!!!%!!NBT!!!!&!##DJ!!NA>!YYP6|
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  ||
  |9}|
  |}& b!( b"0 b#8 b$@ b%H b&P WW}]|[~p0
0 ~A(P=-sin(t))~p0
0 ~d~A(Q=cos(t))~p0
0 ~d~A(Integral((P*(Derivative(t)*s_1)+Q*(Derivative(~
 t)*s_2))*d*t):(a):(b))~p0
0 ~A(Integral((P*(Derivative(t)*s_1)+Q*(Derivative(~
 t)*s_2))*d*t):(a):(b)=6.2831853045540642)~p0
1 ~sb/^!!    }
$&!  c#T"!c&H#_c/__c/__ }
^ _~c2
170 -1 169 -1 163 -1 ~c9
176 -1 175 -1 165 -1 127 -1 164 -1 128 -1 163 -1 4 -1 174 -1 3 -1 ~c2
181 -1 180 -1 163 -1 ~c9
183 -1 182 -1 165 -1 127 -1 164 -1 128 -1 163 -1 4 -1 174 -1 3 -1 ~c2
188 -1 187 -1 163 -1 ~c9
190 -1 189 -1 165 -1 127 -1 164 -1 128 -1 163 -1 4 -1 174 -1 3 -1 ~c11
197 -1 196 -1 165 -1 127 -1 164 -1 128 -1 163 -1 4 -1 194 -1 2 -1 195 -1 1 -1 ~e