A Level

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

Problem

Determine ∫12x(4x2+1)3 dx\displaystyle \int \frac{12x}{(4x^{2}+1)^{3}}\,dx. (a) −32(4x2+1)2+C-\dfrac{3}{2(4x^{2}+1)^{2}}+C (b) −34(4x2+1)2+C-\dfrac{3}{4(4x^{2}+1)^{2}}+C (c) −34(4x2+1)2+C-\dfrac{3}{4}(4x^{2}+1)^{2}+C (d) 34(4x2+1)2+C\dfrac{3}{4(4x^{2}+1)^{2}}+C

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