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

Problem

10. If f(x)=∫0xtsin⁡tdtf(x)=\int_{0}^{x} t \sin t d t, then f′(x)f^{\prime}(x) is (A) cos⁡x+xsin⁡x\cos x+x \sin x (B) xsin⁡xx \sin x (C) xcos⁡xx \cos x (D) sin⁡x+xcos⁡x\sin x+x \cos x

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