let-a-gt-0-b-C-and-Re-b-gt-0-cslculate-e-iax-x-ib-dx-and-e-iax-x-ib-dx-

Question Number 35214 by abdo mathsup 649 cc last updated on 16/May/18

l e t a > 0 b \in C a n d R e (b) > 0

c s l c u l a t e \int_{- \infty}^{+ \infty} \frac{e^{i a x}}{x - i b} d x a n d \int_{- \infty}^{+ \infty} \frac{e^{i a x}}{x + i b} d x