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

The area in square units of the region bounded by the curve \(y = \sqrt{16-x^2}\) and lines \(x = 0,x = 4\) above the X-axis is
The area of the region lying in the first quadrant and bounded by the curve \(y = 4x^2\), the Y-axis, and the lines \(y = 2\), \(y = 4\) is...
The area (in sq. units) of the region bounded by the curve \(y = 2x-x^2\) and the X-axis is...
If the area of the region bounded by the parabola \(y^2 = 4kx\) and the line \(x = k\), (where \(k > 0\)) is \(\frac{128}{3}\) sq. units, then the value of \(sin^{-1}(\frac{2}{k})\) is equal to...
If the area bounded by \(y = x^3+ax\) (where \(a > 0\)), the \(x\)-axis and the lines \(x = -2\) and \(x = 1\) is \(\frac{37}{4}\) square units, then \(\ldots\)
The area (in square units) bounded by the line \(y = x\), the X-axis and the lines \(x = -2\) and \(x = 4\) is...
Area enclosed by curve \(y = 2x^2\) and lines \(x\geq 1, y\leq 4\) is ..... sq. units
The area of the region bounded by the lines \(2x-y+1 = 0, y = -1, y = 3\) and the y-axis is _____
The area of the region enclosed by the lines \(y = 2x,2y = x\) and \(x = 2\) (in sq.units) is...
The area of the region bounded by the curves \(y = |x-4|\), \(x = 3\) and \(x = 5\), and the X-axis is
The area of the shaded region is ... sq.units.
The area of the smaller region bounded by the circle \(x^2+y^2 = 4\) and the line \(x = 1\) is...
If the area bounded by the curve \(x^2 = by\) and the lines \(y = 1,y = 4\) in the first quadrant is \(28\) sq. units, then the value of b is...
The area of the region bounded by the curve \(y = 2^{kx}\) and \(x = 0,x = 2\), in first quadrant is \(\frac{2}{log2}\), then the value of \(k\) is
The area of the region bounded by the curve \(y = x^3\) and the lines \(y = 8\) and \(x = 0\) is ... square units.
The area bounded by the curve \(y = xsin(\frac{x}{2})\) and the X-axis between the lines \(x = 0\) and \(x = 4π\) (in square units), is....
The area of the region (in sq.units) bounded by the curve \(y = 2\sqrt{1-x^2}\) and the X-axis is _____
Calculate the area of the region bounded by the curve \( y^2 = 4x \) and the line \( x = 3 \).
Find the area of the region bounded by the curve \(y^2 = 8x\) and the line \(x = 2\).
The area bounded by the curve $y = 4x - x^2$ and X-axis in square units, is \dots
If the area bounded by $x^{2}=4y$, X-axis and $x=4$ is divided into equal areas by $x=\alpha$, then the value of $\alpha$ is}
The area of the region bounded by the parabola ( y^2 = 27x ) and the line ( x = 1 ) is ________ sq.units.
The area bounded by the curve \(x = 2 - y - y^2\) and the Y-axis is
The area of the region bounded by the parabola ( y^2 = 27x ) and the line ( x = 1 ) is ________ sq.units.
The area of the region bounded by the parabola ( y^2 = 27x ) and the line ( x = 1 ) is ________ sq.units.