Practicing Success
Practicing Success
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The area bounded by the curve $t=x|x|, $ x-axis and the ordinates $x=-1 $ and $ x=1 $ is given by : |
0 $\frac{1}{3}$ $\frac{2}{3}$ $\frac{4}{3}$ |
$\frac{2}{3}$ |
By symmetry area of region I = area of region II = 2 × area of region II $=2×\int\limits_0^1x^2dx$ $=2×\left[\frac{x^2}{3}\right]_0^1$ $=\frac{2}{3}$ sq. units |
