The area (in sq units) of the region x,y: y2≥2x and x2+y2≤4x x≥0 y≥0 is

RequiredArea=Area of circle4−∫022xdx=π224−2x3/23202=π−83

The area (in sq units) of the region x,y: y2≥2x and x2+y2≤4x x≥0 y≥0 is

RequiredArea=Area of circle4−∫022xdx=π224−2x3/23202=π−83

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The area (in sq units) of the region $\{(x, y) : y^{2} \geq 2 x a n d x^{2} + y^{2} \leq 4 x x \geq 0 y \geq 0\}$ is

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$π - \frac{8}{3}$

$π - \frac{4 \sqrt{2}}{3}$

$\frac{π}{2} - \frac{2 \sqrt{2}}{3}$

$π - \frac{4}{3}$

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$\begin{array}{l} Re q u i r e d \\ A r e a = \frac{A r e a o f c i r c l e}{4} \end{array}$ $- \int_{0}^{2} \sqrt{2 x} d x$

$= \frac{π 2^{2}}{4} - \sqrt{2} {(\frac{x^{3 / 2}}{\frac{3}{2}})}_{0}^{2}$

$= π - \frac{8}{3}$

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The area (in sq units) of the region x,y: y2≥2x and x2+y2≤4x x≥0 y≥0 is

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The area (in sq units) of the region $\{(x, y) : y^{2} \geq 2 x a n d x^{2} + y^{2} \leq 4 x x \geq 0 y \geq 0\}$ is