Application of Integrals

8. The area between x = y²  and x = 4 is divided into two equal parts by the line x = a  find the value of  a

7. Find the area of the smaller part of the circle x² + y² = a² cut off by the line x = a/√2

7.  Find the area of the smaller part of the circle x² + y² = a² cut off by the line x = a/√2

6. Find the area of the region in the first quadrant enclosed by x-axis,line $x=\; \surd 3y$ and the circle $x^2+y^2=4$ .

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

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

3. Find the area of the region bounded by the curve x² = 4y ,y=2,y=4 and y-axis is the first quadrant.

2. Find the area of the region bounded by the curve y² = 9x and the lines x=2,x=4 and x-axis in the first quadrant.

1. Find the area of the region bounded by the curve y² = x the  lines x=1, x = 4 and x-axis.

1. Find the area of the region bounded by the curve y² = x the  lines x=1, x = 4 and x-axis.