- #1

shrub_broom

- 15

- 2

- Homework Statement
- I have known how to calculate the integral##\int_{0}^{\infty} \frac{sin(x)}{x}##, however I find it hard to calculate this one since the similar technique(by parametric integral) cannot be simply applied on series.

Any approach or hint is welcomed.

- Relevant Equations
- ##\sum_{x = 1}^{\infty} \frac{sin(x)}{x} = \frac{\pi - 1}{2}##

Maybe introduce a parametric factor can be help.