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A definite integral


Hello :)


Is there any way to evaluate the definite integral


Integrate[
   (Sinh[t] Sin[t])/(11 Cosh[2 t]-7)^(3/2),
   {t,-Infinity,Infinity}]


in a closed form via Mathematica? The Integrate command
just can't do this integration symbolically and I think 
some trick may require.


I appreciate your help.

Wien Hong





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