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∫0∞x4(x+1)7ln(x+1) dx\large\int_0^\infty \dfrac{x^4}{(x+1)^7} \ln(x+1)\, dx ∫0∞(x+1)7x4ln(x+1)dx
If the integral above is equal to pq \dfrac pqqp, where ppp and qqq are coprime positive integers, find p+qp+qp+q.
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