8. Definite Integrals

Evaluate the definite integral.

${\int }_1^2(x-3){(x^2-6x)}^{2}dx$

Evaluate the indefinite integral.

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

Evaluate the indefinite integral.

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

Evaluate the definite integral.

${\int }_{-\frac{\pi }{4}}^{\frac{\pi }{4}}\tan y$ $se{c}^{2}ydy$

Evaluate the indefinite integral.

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

Evaluate the definite integral.

${\int }_0^1\frac{t}{\sqrt{t^2+1}}dt$

Evaluate the indefinite integral.

${\int }_{}^{}\frac{x}{{(x-6)}^5}dx$

Evaluate the indefinite integral.

${\int }_{}^{}3t\sqrt{t^2+7}dt$

Evaluate the indefinite integral.

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

Evaluate the indefinite integral.

${\int }^{}sin\theta {(1+\sin \theta )}^{84}\cos \theta d\theta$