CBSE Class 12 Mathematics — Application of Integrals

The area bounded by the curve $y = x|x|$, x-axis and the ordinates $x = -1 \text{ and } x = 1$ is given by

Represent the given equations C1 and C2 with the help of a diagram.

Express y as a function of x, ($y = f(x)$), for both C1 and C2.

(a) Using integration find the area of region covered by the roundabout. OR (b) Using integration, find the area of region covered by circular pond.