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∫0∞x71−ex dx \large \int_0^\infty \dfrac{x^7}{1-e^x} \, dx∫0∞1−exx7dx
If the integral above is equal to −ABπC -\frac AB \pi^C−BAπC, where A,BA,BA,B and CCC are coprime positive integers with A,BA,BA,B coprime, find A+B+CA+B+CA+B+C.
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