Application of ...

Area of the region bounded by the curve $$y={25}^{x}+16$$ and curve $$y=b.{5}^{x}+4$$ whose tangent at the point $$x=1,$$ makes an angle $${\tan}^{-1}\left(40\log{5}\right)$$ with the $$x-$$axis is:

A curve is such that the area of the region bounded by the coordinates axes, the curve and the ordinate of any point on it is equal to the cube of that ordinate the curve represent.

The area enclosed between the curves $$y = log ( x+ e) ; x = log_e \left(\dfrac{1}{y}\right)$$ and x-axis is

The area common to the circle $${x}^{2}+{y}^{2}=16{a}^{2}$$ and the parabola $${y}^{2}=6ax$$ is

The area bounded by the curve : $$max $${|x|,|y|}$$ = 5$$ is

The value of $$\int_{-1}^{1}{f\left(x\right)dx},$$ is

Find the area of the region $$\{(x, y):x^2+y^2\leq 4, x+y\geq 2\}$$.

The common area between the curve $$x^{2}+ y^{2}=8$$ and $$ y^{2}=2x$$ is

Let $$P(x, y)$$ be a moving point in the $$x-y$$ plane such that $$[x].[y]=2$$, where [.] denotes the greatest integer function, then area of the region containing the points $$P(x, y)$$ is equal to:

If $$\theta \le x\le \pi$$; then the area bounded by the curve $$y=x$$ and $$y=x+\sin x$$ is