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

The area of the region bounded by the curves \( y = |5 - x| \), \( x = 1 \), \( x = 6 \) and the X-axis is:

The area of the region bounded by the curves \( y = |x - 2| \), \( x = 1 \), \( x = 3 \) and the x-axis is

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

The area of the region bounded by $1 - y^2 = |x|$ and $|x| + |y| = 1$ is

The degree of the differential equation \(\left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^2 = x\sin\left(\frac{d^2y}{dx^2}\right)\) is

The value of \(\lim_{x \to 1} \frac{\sum_{k=1}^{100} x^k - 100}{x - 1}\) is

The area bounded by the curve \( y^2 = 2x + 1 \) and the straight line \( x - y - 1 = 0 \) is given by

The area of the figure bounded by \( y = e^x \), \( y = e^{-x} \) and the straight line \( x = 1 \) is:

The line \( x = \frac{\pi}{4} \) divides the area of the region bounded by \( y = \sin x \), \( y = \cos x \) and the x-axis \( (0 \le x \le \frac{\pi}{2}) \) into areas \( A_{1} \) and \( A_{2} \). Then \( A_{1} : A_{2} \) equals

The area of the region bounded by the curve \( x = 4 - y^{2} \) and the y-axis is:

The area of the region bounded by the curve \( x = 4 - y^{2} \) and the y-axis is:

The area bounded by the parabola $y^{2 = 4ax$ and its latus rectum is:

The area bounded by the curve $y = \sin x$ between $x = 0$ and $x = \pi$ is: