Evaluate the following Integrals:

Let ![]()
We will use integration by parts.
Recall, ![]()
Here, take f(x) = tan-1x and g(x) = x
![]()
We have,
![]()
![]()
Now,
![]()
![]()
Substituting these values, we evaluate the integral.


We can write,
![]()


Recall,
![]()
![]()
![]()
![]()
![]()
![]()

AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.



