Class 12

Math

Calculus

Area

Area enclosed between the curves $∣y∣=1−x_{2}andx_{2}+y_{2}=1$ is

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If the line $x=α$ divides the area of region $R={(x,y)∈R_{2}:x_{3}≤y≤x,0≤x≤1}$ into two equal parts, then

If $a(a>0)$ is the value of parameter for each of which the are of the figure bounded by the straight line $y=1+a_{4}a_{2}−ax $ and the parabola $y=1+a_{4}x_{2}+2ax+3a_{2} $ is the greatest, then the value of $a_{4}$ is ___

Find the area enclosed by the graph of $y=g_{e}(x+1),$y-axis, and the line y=1

Consider the functions f(x) and g(x), both defined from $R→R$ and are defined as $f(x)=2x−x_{2}andg(x_{=}x_{n}$ where $n∈N$. If the area between f(x) and g(x) is 1/2, then the value of n is

The area of region(s) enclosed by the curve $y=x_{2}$ and $y=∣x∣ $ is

Find the area of the region bounded by the curves $y=x_{2},y=∣∣ 2−x_{2}∣∣ ,andy=2,$ which lies to the right of the line x=1.

The area enclosed by the curve $C:y=x9−x_{2} (x≥0)$ and the x-axis is___.

The area made by curve $f(x)=[x]+x−[x] $ and x-axis when $0≤x≤n(n∈N)$ is equal to { where [x] is greatest integer function}