1 Fundamentals of Mathematics
The area of the region described by $$\left\{ \left( x,y \right) /{ x }^{ 2 }+{ y }^{ 2 }\le and\quad { y }^{ 2 }\le 1-x \right\} $$ is
1) $$\frac { \pi }{ 2 } -\frac { 2 }{ 3 } $$
2) $$\frac { \pi }{ 2 }+\frac { 2 }{ 3 } $$
3) $$\frac { \pi }{ 2 } +\frac { 4 }{ 3 } $$
4) $$\frac { \pi }{ 2 } -\frac { 4 }{ 3 } $$
$${ x }^{ 2 }+{ y }^{ 2 }=1$$ $${ y }^{ 2 }=1-x$$ $$Area = \frac { \pi }{ 2 } +\frac { 4 }{ 3 } $$
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