List of top Mathematics Questions on Definite Integral asked in AP EAPCET

The value of the definite integral $\int_0^{\pi/2} \ln(\tan x) \, dx$ is:

The value of the definite integral $\int_0^{\pi/2} \frac{\sin^{3/2} x}{\sin^{3/2} x + \cos^{3/2} x} \, dx$ is: