List of top Mathematics Questions on applications of integrals asked in KEAM

The area of the region bounded by \( y = x^{5/2} \) and \( y = x \) (in square units) is

The area enclosed between the curves \( y = 2x^2 + 1 \) and \( y = x^2 + 5 \) is:

Area bounded by \( y=\sin^2 x \), \( x=\frac{\pi}{2} \), \( x=\pi \)

Area bounded by \( y=\sin^2 x \), \( x=\frac{\pi}{2} \), \( x=\pi \)

The area bounded by the lines $y - 2x = 2$, $y = 4$ and the y-axis is equal to (in square units):

The area bounded by \( y = x^2 + 3 \) and \( y = 2x + 3 \) is (in sq. units)