8. Definite Integrals

Evaluate the indefinite integral.

${\int }_{}^{}\frac{1}{{(3x+2)}^5}dx$

Evaluate the indefinite integral.

${\int }_{}^{}\theta \bullet se{c}^2(5{\theta }^2+1)d\theta$

Evaluate the indefinite integral.

${\int }_{}^{}x{(5+x)}^{79}dx$

Evaluate the indefinite integral.

${\int }_{}^{}\frac{t}{\sqrt{t-2}}dt$

7–64. Integration review Evaluate the following integrals.

16. ∫ from 0 to 1 of (t² / (1 + t⁶)) dt

7–64. Integration review Evaluate the following integrals.

18. ∫ from 3 to 7 of (t - 6) * √(t - 3) dt

7–64. Integration review Evaluate the following integrals.

32. ∫ from 0 to 2 of x / (x² + 4x + 8) dx

7–64. Integration review Evaluate the following integrals.

44. ∫ from 0 to √3 of (6x³) / √(x² + 1) dx