List of top Mathematics Questions on applications of integrals asked in WBJEE

The area of the region bounded by the curve $y = x^3$, its tangent at $(1, 1)$ and $x-axis$ is

Area of the region bounded by $y = |x|$ and $y = -|x| + 2$ is

The area of the region enclosed between parabola $y^2 = x$ and the line $y = mx$ is $\frac{1}{48}. $

If the distance between the foci of an ellipse is equal to the length of the latus rectum, then its eccentricity is

The area of the region bounded by the curves $y=x^{3}, y=\frac{1}{x}, x=2$ is