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f(x) - Campus Rio Pomba

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6.2 EXERCÍCIOS<br />

1'<br />

1.<br />

X3<br />

_ N<br />

—<br />

3. (ax4 + bx3 + 3c) dx<br />

5.<br />

7.<br />

(2x2 3)2 dx<br />

1<br />

.12y -<br />

'■/2y<br />

2. f<br />

4.<br />

6.<br />

dy 8.<br />

9. x3 dx 10.<br />

f x2 2+<br />

1 dx<br />

sen x<br />

2<br />

dx<br />

cos x<br />

)1- -N/<br />

J<br />

9t2 + 1-1<br />

Nt3<br />

1<br />

"\rx-<br />

dx2<br />

sen x<br />

'dt<br />

3/2 + 3<br />

± x<br />

3<br />

dt<br />

dx<br />

x5 + 2x2 - 1 dx<br />

X 4<br />

x2 ± 1 dx<br />

x2<br />

1 _ X2<br />

Introdução à integração 339<br />

Nos exercícios de 1 a 10, calcular a integral e, em seguida, derivar as respostas para conferir<br />

os resultados.<br />

Nos exercícios de 11 a 30, calcular as integrais indefinidas.<br />

J<br />

\4/<br />

4<br />

4<br />

7<br />

X X-<br />

(<br />

e<br />

t<br />

17. f — + "\it- + -<br />

2<br />

1 dt<br />

t<br />

19. - e-x) dx<br />

dx<br />

Á.8x4 - 9x3 + 6x2 - 2x + 1<br />

cos O • tg OdO<br />

x2<br />

dx<br />

20. f(t + dt

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