List of top Mathematics Questions on applications of integrals asked in MHT CET

Find the area of the region bounded by the curve \(y^2 = 4x\) and the line \(x = 3\).

The ratio of areas bounded by the curves \[ y=\cos x \] and \[ y=\cos 2x \] between \[ x=0,\qquad x=\frac{\pi}{3} \] and the \(x\)-axis is:

If the area enclosed between the circle \(x^2+y^2=25\) and the parabola \(y^2=16x\) is \(A\), then \(A=\ ?\)

The area bounded by the X-axis and the curve \[ y=x(x-2)(x+1) \] is:

The shaded region in the following figure represents a solution set of

The area (in sq. units) of the region bounded by the parabola $x = \frac{y^2}{2}$ and the line $x = y + 4$ is

The area bounded by the parabola $y^2 = 4ax$ and its latus-rectum $x = a$ is

The area of the region included between the parabolas $y^2 = 8x$ and $x^2 = 8y$ is

The area bounded by the curves $y = (x - 1)^2$, $y = (x + 1)^2$ and $y = \frac{1}{4}$ is