Lista de integrais
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6 páginas
Calcule as integrais, respostas abaixoI) Calcule as seguintes integrais.
1.[pic]= [pic]
2.[pic]= [pic]=2x²+2x³+c
3. [pic]=[pic]=[pic]=[pic]
4.[pic]= [pic]=[pic]
5.[pic]=4t-t²/2+c
6.[pic]= [pic]=[pic]=[pic]
7.[pic]
8.[pic]=[pic]
9.[pic]= [pic]=[pic]=[pic]
10.[pic] =[pic]=[pic]
11) [pic]
12) [pic]
13) [pic]
14) [pic]
15) [pic]
16) [pic]
17) [pic]
18) [pic]
19) [pic]
20) [pic]
21) [pic]
[pic]
[pic]
3.[pic]
[pic]
5.[pic]
[pic]
[pic]
8)[pic]
[pic]
[pic]
11.[pic]
12. [pic]
13. [pic]
14. [pic]
15. [pic]
16. [pic]
17. [pic]
18. [pic]
19 [pic]
20. [pic]
21. [pic]
II) Encontre as primitivas das seguintes funções compostas:
1) [pic]
[pic]
2) [pic]=
[pic]
3)[pic]
[pic]
4) [pic]
[pic]
5) [pic]
[pic]
6) [pic]
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7) [pic]
[pic]
8) [pic]
[pic]
9) [pic][pic]
10) [pic]
[pic]
11) [pic]
[pic]
12) [pic]
[pic]
13) [pic]
14) [pic]
[pic]
15)[pic]
[pic]
16)[pic]
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17) [pic]
[pic]
18)[pic]
[pic]
19) [pic]
[pic]
20)[pic]
[pic]
III) Calcule por frações parciais (A e B): 1)[pic]
=[pic]
A(x+8) + B(x-3) = x x =3 (A(3+8) + B(3-3) = 3 ( 11A = 3( A= 3/11 x=-8( A(-8+8) + B(-8-3)=-8 ( -11B= -8(B = 8/11
(=[pic] 2)[pic] 3x2 + 0x +1 |x2-9x +20 -3x2 +27x -60 3 27x-59 x2-9x+20 =0( ( = b2-4.a.c = (-9)2-4.1.20= 81-80=1 x = [pic]=[pic]( x1 = 10/2 =5 e x2 = 8/2 = 4 x2 – 9x+20 = a (x-x1)(x-x2) =1.(x-5).(x-4) = (x-5).(x-4)
[pic]=[pic]
[pic] A(x-4)+B(x-5) = 27x-59 x = 5 ( A(5-4) + B(5-5) = 27.5 - 59 ( A=76 x = 4 ( A(4-4) +B(4-5) = 27.4 – 59 ( -B = 49( B = -49 (3x+76.ln|x-5|-49.ln|x-4|+k 3.[pic] =[pic] A(x-1) + B(x-3) = 5x-2 x =3 (A(3-1) + B(3-3) = 5.3 -2 ( 2A =