List of top Mathematics Questions on Area under Simple Curves asked in KCET

The area of the region bounded by the curve $y^2 = x^3$, the y-axis and the lines $y = 1$ and $y = 8$ is
The area enclosed by the curve $x = \sqrt{3} \cos \theta, y = \sqrt{3} \sin \theta$ is
The area bounded by the curve \[ y = \sin\left(\frac{x}{3}\right), \quad x \text{ axis}, \quad \text{the lines } x = 0 \text{ and } x = 3\pi \] is:
The area of the region bounded by the curve \[ y = x^2 \quad \text{and the line} \quad y = 16 \quad \text{is:} \]
If y(x) be the solution of the differential equation \(x \log(x) \frac{dy}{dx} + y = 2x \log(x), \quad y(e)\) is equal to
Area of the region bounded by the curve \(y = tan x\), the x- axis and the line \(x = \frac{\pi}{3}\) is
The area of the region bounded by \(y=\sqrt{16-x^2}\) and x-axis is
The area of the region bounded by the line $y = 2x + 1$, $x $ - axis and the ordinates $x = -1$ and $x = 1$ is
The area of the region bounded by the line y = 3x and the curve y=x2 in sq. units is
The area of the region bounded by the line y = x and the curve y=x3 is