AP

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

Problem

39. ∫cos⁡2x(sin⁡x+cos⁡x)2dx\int \frac{\cos 2 x}{(\sin x+\cos x)^{2}} d x is equal to (A) −1sin⁡x+cos⁡x+C\frac{-1}{\sin x+\cos x}+\mathrm{C} (B) log⁡∣sin⁡x+cos⁡x∣+C\log |\sin x+\cos x|+C (C) log⁡∣sin⁡x−cos⁡x∣+C\log |\sin x-\cos x|+C (D) 1(sin⁡x+cos⁡x)2\frac{1}{(\sin x+\cos x)^{2}}

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