How do you integrate #∫(x^3ex^2)/(x^2 +1)^2dx#?
#∫(x^3e^(x^2))/(x^2 +1)^2dx # ?
2 Answers
Explanation:
Here,
Subst .
So,
Using Integration by parts: in the first integral
Subst. back
Hence ,
.....................................................................................
Note: Change in the question is as below.
#x^3ex^2tox^3e^(x^2)#
The answer is
Explanation:
Perform the substitution
The integral is
Perform an integration by parts
Therefore,