Area Under The Curves - Calculus - Mathematics Previous Year Questions

The area of the region bounded by \(Y\)-axis, \(y=\cos x\) and \(y=\sin x, 0 \leq x \leq \frac{\pi}{2}\) is

The area of the region above \(X\)-axis included between the parabola \(y^2=x\) and the circle \(x^2+y^2=2 x\) in square units is

The area of the region bounded by the line \(y=2 x+1, X\)-axis and the ordinates \(x=-1\) and \(x=1\) is

The area of the region bounded by the curve \(y^2=8 x\) and the line \(y=2 x\) is

The area of the region bounded by \(y=-\sqrt{16-x^2}\) and \(X\)-axis is

Area of the region bounded by the curve \(y=\tan x\), the \(X\)-axis and line \(x=\frac{\pi}{3}\) is

In the interval \((0, \pi / 2)\) area lying between the curves \(y=\tan x\) and \(y=\cot x\) and the \(X\)-axis is

The area of the region bounded by the line \(y=x+1\) and the lines \(x=3\) and \(x=5\) is

The area of the region bounded by the line $y=3 x$ and the curve $y=x^2$ sq units is

The area of the region bounded by the line $y=x$ and the curve $y=x^3$ is

The area bounded by the curve $y=\sin \left(\frac{x}{3}\right)$, $x$ axis, the lines $x=0$ and $x=3 \pi$ is