Application of ...

The area of the region $$x+y\le 6$$, $$x^2+y^2\le 6y$$ and $$y^2\le 8x$$ is

The area of the region $$A = \{ ( x , y ) : 0 \leq y \leq x | + 1 \text { and } - 1 \leq x \leq 1 \}$$ in sq. units, is:

Area of the region enclosed between the curves $$x={ y }^{ 2 }-1$$ and $$x=|y|\sqrt { 1-{ y }^{ 2 } } $$ is 

$$R=((x,y):|x|\le |y|\quad and\quad { x }^{ 2 }+{ y }^{ 2 }\le 1)is$$

The area (in sq units) of the region $$\left\{ {\left( {x,y} \right):x \geqslant 0,x + y \leqslant 3,{x^2} \leqslant 4y\,\,and\,\,y \leqslant 1 + \sqrt x } \right\}$$ is 

The area of the region:
$$A = \left\{ {\left( {x,y} \right)} \right\}:0\underline  <  y\underline  <  \left| x \right| + 1\,\,{\text{and}}\,\,\left. { - 1\underline  <  x\underline  <  1} \right\}$$ in sq. units, is

Area enclosed by $$|x-1|+|y+1|=1$$.

Area enclosed by the graph of the function $$y=l{ n }^{ 2 }x-1$$ lying in the $${ 4 }^{ th }$$ quadrant is

The area of the region bounded by the curve $$x=\sin ^{-1}y$$, the x-axis and the line |x|=1 is

The area enclosed within the curve is $$\left| x \right| + \left| y \right| = 1$$ is