Class 12

Math

Calculus

Area

If the area enclosed by the curve $y=x andx=−y ,$ the circle $x_{2}+y_{2}=2$ above the x-axis is A, then the value of $π16 $A is__.

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If the curve $y=ax_{1/2}+bx$ passes through the point (1,2) and lies above the x-axis for $0≤x≤9$ and the area enclosed by the curve, the x-axis, and the line x=4 is 8 sq. units. Then

Find the area bounded by $y=−x_{3}+x_{2}+16xandy=4x$

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

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

Find the area bounded by the curve $x=⎩⎨⎧ −2−y,y_{3},2−y, y<−1−1≤y≤1y>1 $ and x=0 is

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

The area bounded by the curves $y=x(x−3)_{2}andy=x$ is ___ (in sq. units).

If $f(x)={{x} 1 forfor x∈ Zx∈Z andg(x)={x}_{2}$ where {.} denotes fractional part of x then area bounded by f(x) and g(x) for $x∈0,6$ is