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Techniques of Integration - Integration by the Reverse Chain Rule

Techniques of Integration - Integration by the Reverse Chain Rule

IP 4

Evaluate the following.

  1. \(\int_{0}^{\pi} \cos(x) \sqrt{\sin(x)} \mathrm{d}x\)
  2. \(\int_{0}^{\sqrt{\pi}} x \cos(x^2) \mathrm{d}x\)

Solution:

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Answer:(a) \(0\). (b) \(0\).

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