Question

Use integration by parts to find the integrals in Exercise. ∫xex dx.

Answer 1

Answer:

$xe^{x} - e^{x} +C$

Step-by-step explanation:

using the formular for integration by parts;

∫udv = uv -∫vdu   ..............equ 1

in the equation below;

∫$xe^{x}$

u=x , dv =$e^{x}$

du= 1  v= $e^{x}$

Substitute into equ 1

∫udv = $xe^{x}$ - ∫$e^{x}dx$

∫udv = $xe^{x}$ - $e^{x} + C$