A Level

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

Problem

∫ex[sin⁡−1xa+1a2−x2]dx=\int e^x \left[ \sin^{-1} \frac{x}{a} + \frac{1}{\sqrt{a^2 - x^2}} \right] dx = (a) 1aexsin⁡−1xa+c\frac{1}{a} e^x \sin^{-1} \frac{x}{a} + c (b) aexsin⁡−1xa+ca e^x \sin^{-1} \frac{x}{a} + c (c) exsin⁡−1xa+ce^x \sin^{-1} \frac{x}{a} + c (d) exa2−x2+c\frac{e^x}{\sqrt{a^2 - x^2}} + c

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