The area (in sq. units) bounded by the curves $y=\sqrt{x}, 2 y-x+3=0$, $\mathrm{X}$-axis and lying in the…
The area (in sq. units) bounded by the curves $y=\sqrt{x}, 2 y-x+3=0$, $\mathrm{X}$-axis and lying in the first quadrant, is
- 6
- $\frac{27}{4}$
- 9
- 18
Solution
$\begin{aligned} & \int_0^9 \sqrt{x} \mathrm{~d} x-\frac{1}{2} \times 6 \times 3 \\ & =\frac{2}{3}\left[x^{3 / 2}\right]_0^9-9\end{aligned}$
$=\frac{2}{3} \times 27-9=9$
Asked in: MHT CET 2022 (10 Aug Shift 2)
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