For the integral

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For the integral ∫x (x2+1)5 dx\displaystyle \int x\,(x^{2}+1)^{5}\,dx, which substitution would most directly simplify the integrand? (a) u=(x2+1)5u = (x^{2}+1)^{5} (b) u=x2u = x^{2} (c) u=x2+1u = x^{2}+1 (d) u=5(x2+1)4u = 5(x^{2}+1)^{4}

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