Let . What is…

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

Problem

Let G(x)=∫0sin⁡xet2 dtG(x)=\displaystyle\int_{0}^{\sin x} e^{t^{2}}\,dt. What is G′(x)G'(x)? (a) ex2cos⁡xe^{x^{2}}\cos x (b) e(sin⁡x)2cos⁡xe^{(\sin x)^{2}}\cos x (c) e(sin⁡x)2sin⁡xe^{(\sin x)^{2}}\sin x (d) e(sin⁡x)2e^{(\sin x)^{2}}

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