Embibe Experts Solutions for Exercise 1: EXERCISE

The area common to the region determined by $y\ge \sqrt{x}$ and $x^2+y^2<2$, in first quadrant, in square units is

The graph of $y^2+2xy+40\left|x\right|=400$ divides the plane into the regions. The area of the bounded region is

The area enclosed by$y=x(x-1)(x-2)$ and$x$-axis, in square units, is

The area bounded by the curves $y=\sin x$ and $y=\cos x$ between two consecutive points of the intersection, in square units, is

The area bounded by $y={\sin }^{-1}x,y={\cos }^{-1}x$ and the$x$-axis, in square units, is

The area bounded by the loop of the curve $4y^2=x^2\left(4-x^2\right)$ in square units, is

Area bounded by the curves $y={\log }_{e}x$ and  $y={\left({\log }_{e}x\right)}^2$  in square units, is

The area bounded by the curve $f(x)=x+\sin x$ and its inverse function between the ordinates $x=0$ and $x=2 \pi$, in square units, is