integration ends up with hypergeometric function can not be done by sage
we know the integration of
with respect to a is going to get
where 2f1 is hypogeometric function. However, once we to that in sage, it is not possible to get results
sage: integrate(1/(x^b+1),x) integrate(1/(x^b + 1), x)
hope this can be fixed up latter or have some alternative way to work around.