~v200 200 ~w122 4 400 720 0 200 0 38 ~f? 14 12 10
? 3 0 1 0 ? ? ? "Times New Roman" ? ? ? 1 ? 0 1
"Times" 12 ? ? 5 0 c n 106 1 0 0 k 468
f"?n             page ?p?a"
-2 1 26177 26178 26115 26178 1 1 1 1 0 0
8405120 0 -1 0 0 -1 -1 -1 -1 -1 1 1 ? ? 
~Q
]|Expr|[#b @`bb#_b#_b#_})6# b'4" *^: ;bP8&c0!*Experimente alterar|
  | o que foi pedido, ,L usando o exemplo abaixo,A |
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p3
0 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *^: ;bP8&c0!*Trigonometry|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?c1 ('p)~p0
2 ~V?f256 (sin)~p0
2 ~V?f257 (cos)~p0
2 ~V?f258 (tan)~p0
2 ~V?f261 (sec)~p0
2 ~V?f260 (csc)~p0
2 ~V?f262 (cot)~p0
2 ~V?f272 (arcsin)~p0
2 ~V?f273 (arccos)~p0
2 ~V?f274 (arctan)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *^: ;bP8&c0!*Hyperbolic|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~V?f293 (sech)~p0
2 ~V?f288 (sinh)~p0
2 ~V?f289 (cosh)~p0
2 ~V?f290 (tanh)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$L" *^: ;bP8&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" *^: ;bP8&c0!*Standard Rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$L" *^: ;bP8&c0!*Logarithms ,F Powers|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Ht(?x^(-?y)):(1/?x^?y)~p0
3 ~Hs(exp(?z)):(e^?z)~p0
3 ~Hs(e^(ln(?x))):(?x)~p0
3 ~Hs(10^(log(?x))):(?x)~p0
3 ~Hs(?y^(log_?y(?x))):(?x)~p0
3 ~Hs(ln(e^?x)):(?x)~p0
3 ~Hs(log(10^?x)):(?x)~p0
3 ~Hs(log_?y(?y^?x)):(?x)~p0
3 ~He(ln(?u*?v)):(ln(?u)+ln(?v))~p0
3 ~He(log(?u*?v)):(log(?u)+log(?v))~p0
3 ~He(log_?y(?u*?v)):(log_?y(?u)+log_?y(?v))~p0
3 ~He(ln(?u/?v)):(ln(?u)-ln(?v))~p0
3 ~He(log(?u/?v)):(log(?u)-log(?v))~p0
3 ~He(log_?y(?u/?v)):(log_?y(?u)-log_?y(?v))~p0
3 ~He(ln(?u^?v)):(?v*ln(?u))~p0
3 ~He(log(?u^?v)):(?v*log(?u))~p0
3 ~He(log_?y(?u^?v)):(?v*log_?y(?u))~p0
3 ~He(ln(sqrt(?u))):(1/2*ln(?u))~p0
3 ~He(log(sqrt(?u))):(1/2*log(?u))~p0
3 ~He(log_?y(sqrt(?u))):(1/2*log_?y(?u))~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *^: ;bP8&c0!*Trigonometry|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})+# b$L" *^: ;bP8&c0!*Simplify ,M negation|
  | and common zeros}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Hs(sin(-?x)):(-sin(?x))~p0
4 ~Hs(cos(-?x)):(cos(?x))~p0
4 ~Hs(tan(-?x)):(-tan(?x))~p0
4 ~Hs(sin('p)):(0)~p0
4 ~Hs(sin(?n*'p)):(0)~p0
4 ~Hs(cos(1/2*'p)):(0)~p0
4 ~Hs(cos(?n/2*'p)):(0)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})'# b$L" *^: ;bP8&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" *^: ;bP8&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" *^: ;bP8&c0!*Transform ,M into|
  | another flavor of trig function}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((sin(?x))^2):(1-(cos(?x))^2)~p0
4 ~Ht((cos(?x))^2):(1-(sin(?x))^2)~p0
4 ~Ht((tan(?x))^2):((sec(?x))^2-1)~p0
4 ~Ht((sec(?x))^2):((tan(?x))^2+1)~p0
4 ~Ht((csc(?x))^2):((cot(?x))^2+1)~p0
4 ~Ht((cot(?x))^2):((csc(?x))^2-1)~p0
4 ~Hs((sin(?x))^2+(cos(?x))^2):(1)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})b @# b%4" *^: ;bP8&c0!*substituting |
  |z,]tan,Hx,O2,I into a rational function in sin,Hx,I and cos,H|
  |x,I}& b!( b"0 b#8 b$@ 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$L" *^: ;bP8&c0!*Other rules|
  |}& b!( b"0 b#8 b$@ 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" *^: ;bP8&c0!*Hyperbolic|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})+# b$L" *^: ;bP8&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" *^: ;bP8&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" *^: ;bP8&c0!*Other hyperbolic|
  | rules}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht((cosh(?x))^2):(1/2*(cosh(2*?x)+1))~p0
4 ~Ht((sinh(?x))^2):(1/2*(cosh(2*?x)-1))~p0
4 ~Ht(sinh(2*?x)):(2*cosh(?x)*sinh(?x))~p0
4 ~Ht(cosh(2*?x)):(2*(cosh(?x))^2-1)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *^: ;bP8&c0!*Integration Rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~Q
]|Expr|[#b @`bb#_b#_b#_}))# b$8" *^: ;bP8&c0!*after Partial Fraction|
  | Decomposition integration}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Hs(ln(?x+?b*i)):((-i*arctan(?x/?b)+1/2*ln(?x^2+?b^2))+1/2*'p*~
 i)~p0
4 ~Hs(ln(?x+i)):((-i*arctan(?x)+1/2*ln(?x^2+1))+1/2*'p*i)~p0
4 ~Hs(ln(?x-?b*i)):((i*arctan(?x/?b)+1/2*ln(?x^2+?b^2))+1/2*'p*~
 i)~p0
4 ~Hs(ln(?x-i)):((i*arctan(?x)+1/2*ln(?x^2+1))+1/2*'p*i)~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})%# b$4" *^: ;bP8&c0!*Derivatives of |
  |Integrals}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~Ht(Diff(?x)*(Integral(?y*d*?x))):(?y)~p0
4 ~V?c4 (i)~p0
1 ~V?d16 (d)~p0
1 ~V?v0 (k)~p0
1 ~V?c0 (n)~p0
1 ~V?c0 (c)~p0
1 ~V?c0 (b)~p0
1 ~V?c0 (a)~p0
1 ~V?v0 (z)~p0
1 ~V?v0 (y)~p0
1 ~V?v0 (x)~p0
1 ~A(y=x/8)~p0
0 ~d~G1 1 230 506
1 1 3 4 10
(-3...3):(-0.38000000000000006...0.38000000000000006):(~
 ?=0...2*'p):('p/5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})!# b#@" *^: ;bP8&c0!*Declarations|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p3
0 ~R8405120 ? (x,y):(y=bottom...top):(x=left...right):(0)~p0
1 ~gc1 2 ? 0 -2731 -4096 0
65535 -2731 4096 0
~gc1 2 ? 0 0 -4096 0
65535 0 4096 0
~gc1 2 ? 0 2731 -4096 0
65535 2731 4096 0
~
 ~R8405120 ? (x,y):(x=left...right):(y=bottom...top):(0)~p0
1 ~gc1 2 ? 0 -4096 -2156 0
65535 4096 -2156 0
~gc1 2 ? 0 -4096 0 0
65535 4096 0 0
~gc1 2 ? 0 -4096 2156 0
65535 4096 2156 0
~
 ~X2 8405120 (left,y):(y=bottom...top):(y)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 -4096 4096 0
~X1 8405120 (x,bottom):(~
 x=left...right):(x)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 4096 -4096 0
~V?c64 (left)~p0
1 ~V?c65 (right)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~L1 0 ? (x,y):(x=left...right)~p0
0 ~gc1 2 ? 0 -4096 -4042 0
65535 4096 4042 0
~t~p0
0 ~e