The value of (\integral\frac{xe^x dx}{(1+x)^2}) is equal to | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The value of $\int\frac{xe^x dx}{(1+x)^2}$ is equal to

A

ex(1 + x) + c

B

ex(1 + x2) + c

C

ex(1 + x)2 + c

D

$\frac{e^x}{1+x}+c$

Answer

$\frac{e^x}{1+x}+c$

Explanation

Solution

The correct answer is (D) : $\frac{e^x}{1+x}+c$ .