Question: Problem. 5Let n1 be a natural integer and combider the following integral:Is=dx(x31)2(a) Compute Is.(b) By using integration-by-parts, prove the following reduction formula:In1=2n-12nInx2n(x21)2,n1(c) Without further integration,

Problem. 5Let n1 be a natural integer and combider the following integral:Is=dx(x31)2(a) Compute Is.(b) By using integration-by-parts, prove the following reduction formula:In1=2n-12nInx2n(x21)2,n1(c) Without further integration, deduce the value of dx(x21)3.

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