$$\mbox{How to solve the following integral ?}:\quad\int_{0}^{\infty}\frac{{\rm e}^{-x}\sin\left(x\right)}{\left({\rm e}^{3 x} + 1\right)x^{3/10}}{\rm d}x$$
- I think it cannot be solved using elementary functions.
- Solution may obtained through series or special functions ?.
- $\tt Wolfram\ Alpha$ gives approximate value as $0.0605704$.