Evaluate the following integrals:

Tip – If f₁(x) and f₂(x) are two functions , then an integral of the form can be INTEGRATED BY PARTS as

where f₁(x) and f₂(x) are the first and second functions respectively.

Taking f₁(x) = cot^-1x and f₂(x) = x,

, where c is the integrating constant