Practicing Success
Practicing Success
CUET Preparation Today
| The area bounded by the curves \(x=at^{2}, y=2at,x-\) axis, \(1\leq t\leq 3\) is |
\(26a^{2}\) \(8a^{2}\) \(\frac{26}{3}a^{2}\) \(\frac{104}{3}a^{2}\) |
| \(\frac{104}{3}a^{2}\) |
| \(\begin{aligned}\text{Area}&=\int_{1}^{3}ydx\\ &=\int_{1}^{3}2at 2at dt\\ &=4a^{2}\int_{1}^{3}t^{2}dt\\ &=\frac{104}{3}a^{2}\end{aligned}\) |
