Chapter 14.7, Problem 38P

Using the same contour and method as in Problem $37\text{a}$ evaluate ${\displaystyle {\int }_{-\infty }^{\infty }\frac{e^{px}}{1-e^x}}dx,0<p<1$

Hint: The only difference between this problem and Problem $37\text{a}$ is that you now have two simple poles on the contour instead of a pole inside. Use the rule of Example 4.