Area Under Curves

The area of the plane bounded by $y=\sqrt{x},\ x\in[0,1]$, $y=x^2,\ x\in[1,2]$, $y=-x^2+2x+4,\ x\in[0,2]$

The smaller area bounded by $y = 2 - x$ and $x^2 + y^2 = 4$ is:

If area between $ y=x^{2} $ and $ y=x $ is $ A $, then area between $ y=x^{2} $ and $ y=1 $ is:

Find the area bounded by the line y = 3 - x, the parabola y = x² - 9 and

The area enclosed between the curves y² = x and y = |x| is

The area of the region bounded by x-axis and the curves defined by $y=tanx$, $-\frac{\pi}{3}\leq x\leq \frac{\pi}{3}$ and $y=cotx$, $-\frac{\pi}{6}\leq x\leq \frac{3\pi}{2}$ is