Let for all real

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

Problem

Let p(x)=∫x2sin⁡x2et2 dtp(x)=\displaystyle\int_{x^{2}\sin x}^{2} e^{t^{2}}\,dt for all real xx. What is p′(0)p'(0)? (a) 11 (b) p′(0)p'(0) does not exist (c) 00 (d) −1-1

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