Q. Find the area of the region bounded by the parabola $y=x^2$ and $y=|x|$.

Q. Find the area of the region in the first quadrant enclosed by $x$-axis, line $x=\sqrt{3}y$ and the circle $x^2+y^2=4$.

Q. Find the area bounded by curves $(x-1{)}^2+y^2=1$ and $x^2+y^2=1$.

Q. Find the area of the region bounded by the curves $y=x^2+2,y=x,x=0$ and $x=3$.

Q. Using integration find the area of the region bounded by the triangle whose vertices are $(-1,0),(1,3)$ and $(3,2)$.

Q. Find the area of the region bounded by the ellipse $\frac{x^2}{4}+\frac{y^2}{9}=1$.

Q. Smaller area enclosed by the circle $x^2+y^2=4$ and the line $x+y=2$ is

1. $2(\pi -2)$
2. $\pi -2$
3. $2\pi -1$
4. $2(\pi +2)$

Q. Find the area bounded by the curve $x^2=4y$ and the line $x=4y-2$.

Q. The area between $x=y^2$ and $x=4$ is divided into two equal parts by the line $x=a$, find the value of $a$.

Q. Area of the region bounded by the curve $y^2=4x$, y-axis and the line $y=3$ is

1. $\frac{9}{3}$
2. $2$
3. $\frac{9}{4}$
4. $\frac{9}{2}$

Q. Find the area of the region bounded by the ellipse $\frac{x^2}{16}+\frac{y^2}{9}=1$.

Q. Area lying between the curve $y^2=4x$ and $y=2x$ is

1. $\frac{2}{3}$
2. $\frac{1}{3}$
3. $\frac{1}{4}$
4. $\frac{3}{4}$

Q. Find the area of the smaller part of the circle $x^2+y^2=a^2$ cut off by the line $x=\frac{a}{\sqrt{2}}$.

Q. Which rules did he break as a school boy?

Q. Find the area of the circle $4x^2+4y^2=9$ which is interior to the parabola $x^2=4y$.

Q. Find the area of the region bounded by $y^2=9x,x=2,x=4$ and the $x$-axis in the first quadrant.

Q. Area lying in the first quadrant and bounded by the circle $x^2+y^2=4$ and the lines $x=0$ and $x=2$ is

1. $\frac{\pi }{2}$
2. $\pi$
3. $\frac{\pi }{3}$
4. $\frac{\pi }{4}$

Q. Find the area of the region bounded by the curve $y^2=x$ and the lines $x=1,x=4$ and the x-axis in the first quadrant.

Q. Find the area of the region bounded by $x^2=4y,y=2,y=4$ and the $y$-axis in the first quadrant.

Q. Using integration find the area of the triangular region whose sides have the equations $y=2x+1,y=3x+1$ and $x=4$