- #1
rpf_rr
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I found this integral in a book ("A course of modern analysis", Whittaker):
[tex]\int_{0}^{\infty} \frac{sin(bx)}{e^{\pi x}-1} dx[/tex]
I tried to use residue theorem in the rectangular domain [0,R]x[0,i], with R-> [tex]\infty[/tex] , but i couldn't do the integral in [0,i]
[tex]\int_{0}^{\infty} \frac{sin(bx)}{e^{\pi x}-1} dx[/tex]
I tried to use residue theorem in the rectangular domain [0,R]x[0,i], with R-> [tex]\infty[/tex] , but i couldn't do the integral in [0,i]