List of top Mathematics Questions on Area under Simple Curves asked in MET

The line \( x = \frac{\pi}{4} \) divides the area of the region bounded by \( y = \sin x \), \( y = \cos x \) and the x-axis \( (0 \le x \le \frac{\pi}{2}) \) into areas \( A_{1} \) and \( A_{2} \). Then \( A_{1} : A_{2} \) equals

The area of the region bounded by the curve \( x = 4 - y^{2} \) and the y-axis is:

The area of the region bounded by the curve \( x = 4 - y^{2} \) and the y-axis is:

The area bounded by the parabola $y^{2 = 4ax$ and its latus rectum is:

The area bounded by the curve $y = \sin x$ between $x = 0$ and $x = \pi$ is: