Define for all real

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

Problem

Define G(x)=∫3xπsin⁡t dtG(x)=\displaystyle \int_{3x}^{\pi} \sin t\,dt for all real xx. Which of the following expressions equals G′(x)G'(x)? (a) 3sin⁡(3x)3\sin(3x) (b) −3sin⁡(3x)-3\sin(3x) (c) 3cos⁡(3x)3\cos(3x) (d) −sin⁡(3x)-\sin(3x)

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