Integrate xe^(4x) ?

1 Answer
Apr 7, 2017

= 1/4 x e^(4x) - 1/16 e^(4x) + C

Explanation:

int x e^(4x) \ dx

We will use IBP:

= int \ x \ d/dx(1/4 e^(4x)) \ dx

= 1/4 x e^(4x) - 1/4int \ x' \ e^(4x) \ dx

= 1/4 x e^(4x) - 1/4int e^(4x) \ dx

= 1/4 x e^(4x) - 1/16 e^(4x) + C