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) = and f2(x) = 1,
Now,
Again, we know,
Replacing x by tanx, it is obtained that,
So, the final integral yielded is
, where c is the integrating constant