Question

Find the following integrals.
$\int (4e^{3x}+1)dx.$

Answer 1

$\int (4e^{3x}+1)dx=4\int e^{3x}dx+\int 1dx=\frac{4e^{3x}}{3}+x+C[\therefore \int e^{nx}dx=\frac{e^{nx}}{n}]$