For , define . Derive a simplified expression for…

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

Problem

For x>0x>0, define p(x)=∫1x2(2t+1) dtp(x)=\displaystyle\int_{1}^{x^{2}} (2t+1)\,dt. Derive a simplified expression for p′(x)p'(x).

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