Question

he area of the region (in the square unit) bounded by the curve $x^2=4y$, line x=2 and x-axis is

• A. $1$
• B. $\frac{2}{3}$
• C. $\frac{4}{3}$
• D. $\frac{8}{3}$

Answer 1

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

Given $x^2=4y$




Shared area=${\int }_0^2\frac{x^2}{4}dx=\frac{1}{12}[x^3{]}_0^2=\frac{8}{12}=\frac{2}{3}$.