jee-advanced 2019 Q13

jee-advanced · India · paper2 Indefinite & Definite Integrals Integral Equation with Symmetry or Substitution

The value of the integral $$\int_0^{\pi/2} \frac{3\sqrt{\cos\theta}}{(\sqrt{\cos\theta} + \sqrt{\sin\theta})^5}\,d\theta$$ equals

The value of the integral
$$\int_0^{\pi/2} \frac{3\sqrt{\cos\theta}}{(\sqrt{\cos\theta} + \sqrt{\sin\theta})^5}\,d\theta$$
equals