Let . Which of the following functions is an antiderivative of…

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

Problem

Let f(x)=xcos⁡x+sin⁡xf(x)=x\cos x+\sin x. Which of the following functions is an antiderivative of f(x)f(x)? (a) xcos⁡x+sin⁡xx\cos x+\sin x (b) −xcos⁡x+2-x\cos x+2 (c) xsin⁡xx\sin x (d) xsin⁡x+2cos⁡xx\sin x+2\cos x

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