Question

Find du and v. Treat a and n as constants.

Answer 1

Stated that;

`u=x^n`

Then, differentiating u with respect to x using the power rule where n is a constant is;

`\begin{gathered} du=(n*1)x^(n-1) \\ du=nx^(n-1) \end{gathered}`

Also,

`dv=e^(ax)`

Then, we can find v by integrating, we have;

`\begin{gathered} \int dv=\int e^(ax)dx \\ v=(1)/(a)e^(ax) \\ \end{gathered}`