AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

∫etan⁡−1x1+x2 dx=\int \frac{e^{\tan^{-1}x}}{1+x^2}\,dx = (A) log⁡(1+x2)+c\log(1+x^2) + c (B) log⁡(etan⁡−1x)+c\log\left(e^{\tan^{-1}x}\right) + c (C) etan⁡−1x+ce^{\tan^{-1}x} + c (D) tan⁡−1(etan⁡−1x)+c\tan^{-1}\left(e^{\tan^{-1}x}\right) + c

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