Let . Determine when…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Let P(x)=∫1cos⁡xln⁡(1+t2) dtP(x)=\displaystyle \int_{1}^{\cos x} \ln(1+t^{2})\,dt. Determine P′(x)P'(x) when x=π3x=\dfrac{\pi}{3}.

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