Question

The area between the parabola $x^2=8y$ and the straight line $y=8$ is

• A. 85.33

Answer 1

The correct option is A 85.33


Area $={\int }_{x=-8}^8{\int }_{y=\frac{x^2}{8}}^8\left(1\right)dydx$
$=2{\int }_0^8(8-\frac{x^2}{8})dx$
${\begin{array}{c}=2(8x-\frac{x^3}{24})\end{array}|}_0^8$
$=2[(64-\frac{64}{3})-0]=85.33$