For the following two integrals,
1. $\displaystyle \int_0^1 \frac{1}{1-x^b} dx$
2. $\displaystyle \int_0^1 \frac{x^{ab}}{1-x^b} dx$
is there any closed forms in terms of trigonometric functions ???
thanks for helping
For the following two integrals,
1. $\displaystyle \int_0^1 \frac{1}{1-x^b} dx$
2. $\displaystyle \int_0^1 \frac{x^{ab}}{1-x^b} dx$
is there any closed forms in terms of trigonometric functions ???
thanks for helping