Question

Integrate with respect to $x$.:
$e^x({\text{sec}}^{2}x+\tan x)$

Answer 1

$\int e^x\left(f\right(x)+f(x\left)\right)dx=e^{x}f\left(x\right)$

$\Rightarrow \int e^x(\tan +{\sec }^{2}x)=e^x\tan x+c$