List of top Mathematics Questions on Definite Integral asked in Assam CEE

The value of \[ \int_{\alpha}^{\beta} \sqrt{(x-\alpha)(\beta-x)}\,dx, \qquad \alpha\ne\beta \] is

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