Respuesta :

Stated that;

[tex]u=x^n[/tex]

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

[tex]\begin{gathered} du=(n\times1)x^{n-1} \\ du=nx^{n-1} \end{gathered}[/tex]

Also,

[tex]dv=e^{ax}[/tex]

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

[tex]\begin{gathered} \int dv=\int e^{ax}dx \\ v=\frac{1}{a}e^{ax} \\ \end{gathered}[/tex]