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edited Jul 19, 2019 at 18:09

Jam

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Integrating a Product of Trigonometric Functions Solve $\int_{-\infty}^{\infty} \text{sech}^2(x-a)\text{sech}^2(x+a)\ \mathrm{d}x$

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asked Jul 19, 2019 at 17:55

K9Lucario

Integrating a Product of Trigonometric Functions

I am wondering if anyone knows a trick on how to solve this integral $$f(a)=\int_{-\infty}^{\infty} \text{sech}^2(x-a)\text{sech}^2(x+a)dx.$$ The answer should be a function of $a$.

Basically I am trying to reproduce some results from a paper. I've tried Matlab/Wolfram/Mathematica to no avail.

integration trigonometric-integrals