Given , compute…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Given F(x)=∫x2sin⁡x2et2 dtF(x)=\displaystyle \int_{x^{2}\sin x}^{2} e^{t^{2}}\,dt, compute F′ ⁣(π2)F'\!\left(\dfrac{\pi}{2}\right).

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