Integrate with power of e

Calculus Level 4

\[\large{\displaystyle \int^{\infty}_{-\infty} \frac{e^{-6x}}{(1+e^{-2x})^{\frac{7}{2}}}dx=\frac{A}{B}}\]

where \(A,B\) are co prime positive integers.

Find \(B-A\)

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