A Level

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

Problem

∫3x2x6+1 dx=\int \frac{3x^2}{x^6 + 1}\,dx = (A) log⁡(x6+1)+c\log(x^6 + 1) + c (B) tan⁡−1(x3)+c\tan^{-1}(x^3) + c (C) 3tan⁡−1(x3)+c3\tan^{-1}(x^3) + c (D) 3tan⁡−1(x33)+c3\tan^{-1}\left(\frac{x^3}{3}\right) + c

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