Given Definite Integral can be written as:

We will find the value of ∫ tan^-1xdx using by parts rule

Let us find the value of ∫ tan^-1xdx

⇒ ∫ tan^-1x dx = ∫ 1.tan^-1xdx

We substitute this result in the Definite Integral:

We know that:

[here f’(x) is derivative of f(x)).