List of top Mathematics Questions on applications of integrals asked in AP EAPCET

Find the area of the region bounded by the curve \[ y=x^2-4, \] the \(x\)-axis and the lines \(x=-2\) and \(x=3\).

A circle passes through the ends of the latus rectum of parabola \( y^2=12x \) and has its centre at the vertex. The area inside the circle and outside the parabola in the \( 1^{st} \) quadrant is:

The area (in sq. units) of the region bounded between the curve \( y=x^{2}+5x+1 \) and the line \( 7x-y+1=0 \) is

The area of the region bounded by the curve $y=x^{2}+x$, the lines $y=x$, $x=1$ and $y=2$ is

The area (in square units) of the region bounded by the parabola $y^2 = 4x$ and the line $y = 2x$ is: