Class 12

Math

Calculus

Area

The area enclosed between the curve $y=sin_{2}xandy=cos_{2}x$ in the interval $0≤x≤π$ is

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The area of the region enclosed by the curves $y=x,x=e,y=x1 $ and the positive x-axis is

Consider the area $S_{0},S_{1},S_{2}….$ bounded by the x-axis and half-waves of the curve $y=e_{−x}sinx,wherex≥0.$ $n=0Σ ∞ S_{n}$ is equal to

Find the area bounded by $y_{2}≤4x,x_{2}+y_{2}≥2x,andx≤y+2$ in the first quadrant.

The area (in sq. units) of the region described by ${(x,y),y_{2}≤2xandy≥4x−1}$ is

The area in the first quadrant between $x_{2}+y_{2}=π_{2}$ and $y=sinx$ is

The area bounded by the curves y=cos x and y= sin x between the ordinates x=0 and $x=3π/2$ is

If S is the sum of cubes of possible value of c for which the area of the figure bounded by the curve $y=8x_{2}−x_{5}$, then straight lines x=1 and x=c and the abscissa axis is equal to $16/3$, then the value of [S], where [.] denotes the greatest integer function, is ___.

The ratio in which the line $x−1=0$ divides the area bounded by the curves $2x+1=4y+1 ,y=xandy=2$ is