List of top Mathematics Questions on applications of integrals asked in UP Board XII

Find the area bounded by the ellipse \(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\).

Find the area of the region bounded by the curve \(y=\sin x\), \(x=0\) and \(x=2\pi\).

Find the area of the circle \((x-2)^2+y^2=4\).

Find the area of the circle \(x^2+y^2=r^2\).

Find the area surrounded by the line \(y=3x+2\), the \(x\)-axis, and the ordinates \(x=-1\) and \(x=1\).

Find the area of the region bounded by \(x=0\), \(x=2\pi\) and the curve \(y=\sin x\).