Question

The area bounded by the curve $x^2=4y$, x-axis and the line $x=2$ is

• A. $1$
• B. $\frac{2}{3}$
• C. $\frac{3}{2}$
• D. $2$

Answer 1

The correct option is B $\frac{2}{3}$

REF.Image

Area $\Rightarrow {\int }_0^2\frac{x^2}{4}dx$

$\Rightarrow \frac{[x^3{]}_0^2}{12}=\frac{8}{12}=2/3$