Integrate

Calculus Level 4

∫0∞x4(x+1)7ln⁡(x+1) dx\large\int_0^\infty \dfrac{x^4}{(x+1)^7} \ln(x+1)\, dx

If the integral above is equal to pq \dfrac pq, where pp and qq are coprime positive integers, find p+qp+q.

Harsh Shrivastava by Harsh Shrivastava
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