11. Techniques of Integration

Find the integral.

$\int_{}^{}se^{3s}ds$

Find the integral.

$\int_{}^{}x^2\ln xdx$

Find the indefinite integral.

$\int_{}^{}r^2e^{-r}dr$

Evaluate the indefinite integral.

$\int_{}^{}\left(s^2+4\right)e^{3s}ds$

Evaluate the indefinite integral.

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

Evaluate the definite integral.

$\int_1^2x\ln xdx$

The rate of growth of a particular bacteria is given by $b^{\prime }\left(t\right)=4t^2{e}^{.5t}$ where $t$ is time in days. What is the total growth of the population of bacteria during the first 5 days?