~v200 200 ~w98 4 465 740 0 203 0 0 ~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#_}).# b'4" *^: ;bP8&c0!*Clique aqui para|
  | conferir a sua resposta,A}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b'4" *^: ;bP8&c0!*Uma circunferencia|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
1 ~G1 1 299 299
1 1 4 4 10
(-2...2):(-1...1):(?=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}]|[~p1
0 ~R8405120 ? (x,y):(y=bottom...top):(x=left...right):(0)~p0
1 ~gc1 2 ? 0 -2048 -4096 0
65535 -2048 4096 0
~gc1 2 ? 0 0 -4096 0
65535 0 4096 0
~gc1 2 ? 0 2048 -4096 0
65535 2048 4096 0
~
 ~R8405120 ? (x,y):(x=left...right):(y=bottom...top):(0)~p0
1 ~gc1 2 ? 0 -4096 -2048 0
65535 4096 -2048 0
~gc1 2 ? 0 -4096 0 0
65535 4096 0 0
~gc1 2 ? 0 -4096 2048 0
65535 4096 2048 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):(t=-3...3)~p0
0 ~gc0 71 ? 0 -2028 -578 0
1170 -1985 -1008 0
2080 -1936 -1335 0
3120 -1864 -1697 0
5201 -1669 -2372 0
6241 -1549 -2679 0
7411 -1397 -2995 0
8321 -1268 -3217 0
9362 -1109 -3444 0
9930 -1018 -3554 0
10272 -962 -3616 0
11817 -697 -3851 0
12066 -653 -3882 0
12482 -579 -3929 0
12756 -529 -3957 0
12927 -498 -3973 0
13213 -446 -3998 0
13653 -365 -4030 0
13994 -302 -4051 0
14563 -196 -4077 0
15213 -75 -4093 0
15944 63 -4094 0
17684 386 -4022 0
17830 413 -4012 0
18074 458 -3992 0
18724 576 -3931 0
19894 783 -3785 0
20804 938 -3642 0
21845 1107 -3447 0
22755 1246 -3251 0
23925 1413 -2965 0
26135 1682 -2337 0
27046 1773 -2049 0
28086 1863 -1702 0
30166 1990 -966 0
32377 2047 -146 0
33287 2046 195 0
35238 1996 919 0
36408 1935 1340 0
37448 1863 1702 0
38618 1761 2091 0
39529 1668 2377 0
40569 1547 2683 0
42649 1266 3220 0
43690 1107 3447 0
44421 989 3587 0
44860 916 3664 0
45591 791 3778 0
46810 576 3931 0
47720 411 4013 0
48891 193 4078 0
49134 148 4085 0
49281 121 4089 0
49931 -1 4096 0
51101 -220 4072 0
51669 -326 4044 0
52011 -389 4021 0
52401 -460 3991 0
53052 -578 3929 0
53962 -740 3819 0
55132 -940 3639 0
56172 -1109 3444 0
57472 -1305 3156 0
58253 -1415 2962 0
58643 -1467 2859 0
59293 -1549 2679 0
60203 -1655 2412 0
61374 -1775 2044 0
62414 -1864 1698 0
64364 -1985 1009 0
65535 -2028 578 0
~t~p1
0 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4" *^: ;bP8&c0!*Declarations|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p3
1 ~V?v0 (t)~p0
2 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *^: ;bP8&c0!*Trigonometry|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~V?c1 ('p)~p0
3 ~V?f256 (sin)~p0
3 ~V?f257 (cos)~p0
3 ~V?f258 (tan)~p0
3 ~V?f261 (sec)~p0
3 ~V?f260 (csc)~p0
3 ~V?f262 (cot)~p0
3 ~V?f272 (arcsin)~p0
3 ~V?f273 (arccos)~p0
3 ~V?f274 (arctan)~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *^: ;bP8&c0!*Hyperbolic|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
2 ~V?f293 (sech)~p0
3 ~V?f288 (sinh)~p0
3 ~V?f289 (cosh)~p0
3 ~V?f290 (tanh)~p0
3 ~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 ~V?f32 (log)~p0
3 ~V?f307 (ln)~p0
3 ~V?f291 (exp)~p0
3 ~V?c2 (e)~p0
3 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *^: ;bP8&c0!*Standard Rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
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
3 ~Ht(?x^(-?y)):(1/?x^?y)~p0
4 ~Hs(exp(?z)):(e^?z)~p0
4 ~Hs(e^(ln(?x))):(?x)~p0
4 ~Hs(10^(log(?x))):(?x)~p0
4 ~Hs(?y^(log_?y(?x))):(?x)~p0
4 ~Hs(ln(e^?x)):(?x)~p0
4 ~Hs(log(10^?x)):(?x)~p0
4 ~Hs(log_?y(?y^?x)):(?x)~p0
4 ~He(ln(?u*?v)):(ln(?u)+ln(?v))~p0
4 ~He(log(?u*?v)):(log(?u)+log(?v))~p0
4 ~He(log_?y(?u*?v)):(log_?y(?u)+log_?y(?v))~p0
4 ~He(ln(?u/?v)):(ln(?u)-ln(?v))~p0
4 ~He(log(?u/?v)):(log(?u)-log(?v))~p0
4 ~He(log_?y(?u/?v)):(log_?y(?u)-log_?y(?v))~p0
4 ~He(ln(?u^?v)):(?v*ln(?u))~p0
4 ~He(log(?u^?v)):(?v*log(?u))~p0
4 ~He(log_?y(?u^?v)):(?v*log_?y(?u))~p0
4 ~He(ln(sqrt(?u))):(1/2*ln(?u))~p0
4 ~He(log(sqrt(?u))):(1/2*log(?u))~p0
4 ~He(log_?y(sqrt(?u))):(1/2*log_?y(?u))~p0
4 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b$L" *^: ;bP8&c0!*Trigonometry|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~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
4 ~Hs(sin(-?x)):(-sin(?x))~p0
5 ~Hs(cos(-?x)):(cos(?x))~p0
5 ~Hs(tan(-?x)):(-tan(?x))~p0
5 ~Hs(sin('p)):(0)~p0
5 ~Hs(sin(?n*'p)):(0)~p0
5 ~Hs(cos(1/2*'p)):(0)~p0
5 ~Hs(cos(?n/2*'p)):(0)~p0
5 ~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
4 ~Ht(tan(?x)):((sin(?x))/(cos(?x)))~p0
5 ~Ht(csc(?x)):(1/(sin(?x)))~p0
5 ~Ht(sin(?x)):(1/(csc(?x)))~p0
5 ~Ht(sec(?x)):(1/(cos(?x)))~p0
5 ~Ht(cos(?x)):(1/(sec(?x)))~p0
5 ~Ht(cot(?x)):((cos(?x))/(sin(?x)))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *^: ;bP8&c0!*Trig Addition|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
4 ~Ht(cos(?x+?y)):(cos(?x)*cos(?y)-sin(?x)*sin(?y))~p0
5 ~Ht(sin(?x+?y)):(cos(?x)*sin(?y)+sin(?x)*cos(?y))~p0
5 ~Ht(cos(2*?x)):(2*(cos(?x))^2-1)~p0
5 ~Ht(sin(2*?x)):(2*cos(?x)*sin(?x))~p0
5 ~Ht(sin(?n*?x)):(cos((?n-1)*?x)*sin(?x)+cos(?x)*sin((?n-1)*?x))~p0
5 ~Ht(cos(?n*?x)):(cos(?x)*cos((?n-1)*?x)-sin(?x)*sin((?n-1)*?x))~p0
5 ~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
4 ~Ht((sin(?x))^2):(1-(cos(?x))^2)~p0
5 ~Ht((cos(?x))^2):(1-(sin(?x))^2)~p0
5 ~Ht((tan(?x))^2):((sec(?x))^2-1)~p0
5 ~Ht((sec(?x))^2):((tan(?x))^2+1)~p0
5 ~Ht((csc(?x))^2):((cot(?x))^2+1)~p0
5 ~Ht((cot(?x))^2):((csc(?x))^2-1)~p0
5 ~Hs((sin(?x))^2+(cos(?x))^2):(1)~p0
5 ~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$@ b%H b&P!WW}]|[~p1
4 ~Hs(cos(2*arctan(?z))):((1-?z^2)/(1+?z^2))~p0
5 ~Hs(sin(2*arctan(?z))):(2*?z/(1+?z^2))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *^: ;bP8&c0!*Other rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
4 ~Ht((cos(?x))^2):(1/2*(cos(2*?x)+1))~p0
5 ~Ht((sin(?x))^2):(1/2*(-cos(2*?x)+1))~p0
5 ~Ht(cos(?x)*sin(?x)):(1/2*sin(2*?x))~p0
5 ~Hs(sin(arccos(?x))):(sqrt(-?x^2+1))~p0
5 ~Hs(cos(arcsin(?x))):(sqrt(-?x^2+1))~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b!T" *^: ;bP8&c0!*Hyperbolic|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~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
4 ~Hs(sinh(-?x)):(-sinh(?x))~p0
5 ~Hs(cosh(-?x)):(cosh(?x))~p0
5 ~Hs(tanh(-?x)):(-tanh(?x))~p0
5 ~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
4 ~Ht((sinh(?x))^2):((cosh(?x))^2-1)~p0
5 ~Ht((cosh(?x))^2):(1+(sinh(?x))^2)~p0
5 ~Ht((tanh(?x))^2):(1-(sech(?x))^2)~p0
5 ~Ht(sinh(?x)):((e^?x-e^(-?x))/2)~p0
5 ~Ht(cosh(?x)):((e^?x+e^(-?x))/2)~p0
5 ~Ht(tanh(?x)):((e^?x-e^(-?x))/(e^?x+e^(-?x)))~p0
5 ~Ht(tanh(?x)):((sinh(?x))/(cosh(?x)))~p0
5 ~Hs((cosh(?x))^2-(sinh(?x))^2):(1)~p0
5 ~Hs(-(cosh(?x))^2+(sinh(?x))^2):(-1)~p0
5 ~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
4 ~Ht((cosh(?x))^2):(1/2*(cosh(2*?x)+1))~p0
5 ~Ht((sinh(?x))^2):(1/2*(cosh(2*?x)-1))~p0
5 ~Ht(sinh(2*?x)):(2*cosh(?x)*sinh(?x))~p0
5 ~Ht(cosh(2*?x)):(2*(cosh(?x))^2-1)~p0
5 ~Q
]|Expr|[#b @`bb#_b#_b#_})## b$L" *^: ;bP8&c0!*Integration Rules|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
3 ~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
4 ~Hs(ln(?x+?b*i)):((-i*arctan(?x/?b)+1/2*ln(?x^2+?b^2))+1/2*'p*~
 i)~p0
5 ~Hs(ln(?x+i)):((-i*arctan(?x)+1/2*ln(?x^2+1))+1/2*'p*i)~p0
5 ~Hs(ln(?x-?b*i)):((i*arctan(?x/?b)+1/2*ln(?x^2+?b^2))+1/2*'p*~
 i)~p0
5 ~Hs(ln(?x-i)):((i*arctan(?x)+1/2*ln(?x^2+1))+1/2*'p*i)~p0
5 ~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
4 ~Ht(Diff(?x)*(Integral(?y*d*?x))):(?y)~p0
5 ~V?c4 (i)~p0
2 ~V?d16 (d)~p0
2 ~V?v0 (k)~p0
2 ~V?c0 (n)~p0
2 ~V?c0 (c)~p0
2 ~V?c0 (b)~p0
2 ~V?c0 (a)~p0
2 ~V?v0 (z)~p0
2 ~V?v0 (y)~p0
2 ~V?v0 (x)~p0
2 ~A(x=cos(t))~p0
1 ~d~A(y=sin(t))~p0
255 ~d~e