JEE Mains 2016 Mathematics 31

Calculus Level 4

( x , y ) : y 2 ≥ 2 x , x 2 + y 2 ≤ 4 x , x ≥ 0 , y ≥ 0 (x,y): \quad y^2\geq 2x,\quad x^2+y^2\leq4x ,\quad x\geq 0 , \quad y\geq 0

Find he area (in sq. units) of the region as described above.

π − 4 3 \pi -\frac { 4 }{ 3 } π − 2 2 3 \pi -\frac { 2\sqrt { 2 } }{ 3 } π − 8 3 \pi -\frac { 8 }{ 3 } π − 4 2 3 \pi -\frac { 4\sqrt { 2 } }{ 3 }

Rishabh Deep Singh by Rishabh Deep Singh , 23, India

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