∫_0 ^∞ ∫_0 ^∞ ∫_0 ^∞ ∫_0 ^∞ ((dx dy dz dt)/((cosh(x)+cosh(y)+cosh(z)+cosh(t))^4 )) =((7ζ(3)−6)/(12))


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Question Number 125919 by Eric002 last updated on 15/Dec/20

$\int_{0}^{\infty} \int_{0}^{\infty} \int_{0}^{\infty} \int_{0}^{\infty} \frac{d x d y d z d t}{{(c o s h (x) + c o s h (y) + c o s h (z) + c o s h (t))}^{4}}$ $= \frac{7 ζ (3) - 6}{12}$
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