Integral of 1/sinh^2(x/2)

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  • #1
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Hi dear members,
I have a problem with the following integral:

Integral 1/sinh^2(x/2) from -inf to +inf =-2 coth(x/2)

must I consider it as a principal value integral???

Thank you
 

Answers and Replies

  • #2
dextercioby
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If you're integrating wrt x, you can't have x in the RHS.
 
  • #3
pwsnafu
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Integral 1/sinh^2(x/2) from -inf to +inf =-2 coth(x/2)
Just to be clear, are you trying to evaluate
##\int_{-\infty}^{\infty} \frac{1}{\sinh ^2(x/2)} \, dx##
 
  • #4
rbj
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once you put limits on the integral (a definite integral, not an indefinite integral), it is no longer a function of x. is it the anti-derivative you want to prove?
 

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