Class 12

Math

Calculus

Area

The area bounded by the curve $y=xe_{−x},y=0andx=c,$ where c is the x-coordinate to the curve's inflection point, is

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Area bounded by the relation $[2x]+[y]=5,x,y>0$ is__ (where [.] represents greatest integer funciton).

The area of the region is 1st quadrant bounded by the y-axis, $y=4x ,y=1+x ,andy=x 2 $ is

Find the area bounded by $y=∣∣ sinx−21 ∣∣ andy=1forx∈[0,π]$

The area between the curve $y=2x_{4}−x_{2}$, the x-axis, and the ordinates of the two minima of the curve is

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

Let $A_{r}$ be the area of the region bounded between the curves $y_{2}=(e_{−kr})x(wherek>0,r∈N)and the liney=mx(wherem=0)$, k and m are some constants $A_{1},A_{2},A_{3},…$ are in G.P. with common ratio

The area of the figure bounded by the parabola $(y−2)_{2}=x−1,$ the tangent to it at the point with the ordinate x=3, and the x-axis is

The area of the region described by $A={(x,y):x_{2}+y_{2}≤1andy_{2}≤1−x}$ is