Find the value of .

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

Problem

Find the value of ∫4x2+4 dx\displaystyle \int \frac{4}{x^{2}+4}\,dx. (a) 4tan⁡−1(2x)+C4\tan^{-1}(2x)+C (b) ln⁡∣x2+4∣+C\ln|x^{2}+4|+C (c) 2tan⁡−1(x2)+C2\tan^{-1}\left(\dfrac{x}{2}\right)+C (d) 12tan⁡−1(x2)+C\dfrac{1}{2}\tan^{-1}\left(\dfrac{x}{2}\right)+C

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