Evaluate the following integrals:

Question

Philoid · Accepted Answer

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) = sin^-1x and f₂(x) = e^x in the first integral and keeping the second integral intact,

, where c is the integrating constant