A Level

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

Problem

Evaluate ∫x3(x4+1)7 dx\displaystyle\int x^{3}(x^{4}+1)^{7}\,dx. (a) (x4+1)88+C\dfrac{(x^{4}+1)^{8}}{8}+C (b) 8(x4+1)8+C8(x^{4}+1)^{8}+C (c) (x4+1)832+C\dfrac{(x^{4}+1)^{8}}{32}+C (d) (x4+1)77+C\dfrac{(x^{4}+1)^{7}}{7}+C

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