Question

The area bounded by the curve $y=\sqrt{x}$, $y-axis$, $y=1$ and $y=2$ (in sq. units) is

• A. $7$
• B. $\frac{4}{3}$
• C. $\frac{7}{3}$
• D. $Noneofthese$

Answer 1

Answer: (C)

$\frac{7}{3}$

$y=\sqrt{x}$

Area $={\int }_1^2{y}^{2}dy$

$={\left[\frac{y^3}{3}\right]}_1^2$

$=\left(\frac{8}{3}-\frac{1}{3}\right)$

$=\frac{7}{3}$.