12. Techniques of Integration

Find the integral.

${\int }_{}^{}s{e}^{3s}ds$

Find the integral.

${\int }_{}^{}\theta \cos 2\theta d\theta$

Find the integral.

${\int }_{}^{}{x}^2\ln xdx$

Find the indefinite integral.

${\int }_{}^{}{r}^2{e}^{-r}dr$

Find the indefinite integral.

${\int }_{}^{}{\theta }^2\cos 3\theta d\theta$

Evaluate the indefinite integral.

${\int }_{}^{}(s^2+4)e^{3s}ds$

Evaluate the indefinite integral.

${\int }^{}\frac{\ln x}{x^4}dx$

Evaluate the indefinite integral.

${\int }_{}^{}{x}^2\cos 4xdx$

Evaluate the definite integral.

${\int }_1^{2}x\ln xdx$

Evaluate the definite integral.

${\int }_0^{\pi }{t}^2\sin tdt$