Can someone help me with this question.
Evaluate the integral fro 0 to inifinity of sinx over sinh x ?
Thanks
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Instead we will do,
Because the function is even.
Now define the complex-valued function,
.
The singularities of this function occur when . Since there are infinitely many such values we cannot use the semi-circular contour. Let us use a rectangular contour: .
Can you finish?