For the integral

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

For the integral ∫12x (x2+4)5 dx\displaystyle \int 12x\,(x^{2}+4)^{5}\,dx, which choice of uu would most effectively simplify the integrand for antidifferentiation? (a) u=12xu = 12x (b) u=6x2u = 6x^{2} (c) u=x2+4u = x^{2}+4 (d) u=(x2+4)5u = (x^{2}+4)^{5}

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