cmi-entrance 2018 QA4

cmi-entrance · India · ugmath 4 marks Integration by Substitution Substitution Combined with Symmetry or Companion Integral

Compute the following integral $$\int_{0}^{\frac{\pi}{2}} \frac{\mathrm{~d}x}{(\sqrt{\sin x} + \sqrt{\cos x})^{4}}.$$

Compute the following integral
$$\int_{0}^{\frac{\pi}{2}} \frac{\mathrm{~d}x}{(\sqrt{\sin x} + \sqrt{\cos x})^{4}}.$$