Question

$\int e^x(\sin x+\cos x)dx$

Answer 1

$\int e^x(\sin x+\cos x)dx$

It is of the form $\int e^x\left(f\right(x)+f^{\prime }(x\left)\right)dx=e^{x}f\left(x\right)+c$

So $⟹e^x\sin x+c$