The area bounded by the curve $y = \frac{1}{2}x^{2}$, the $x$-axis and the ordinate $x = 2$ is

Question

Dr. Abubacker · Accepted Answer

(d)
$Required\ area = \int_{0}^{2}{y\ \ dx}$
[image:8_image46.jpeg]
$= \int_{0}^{2}{\frac{x^{2}}{2}dx = \left\lbrack \frac{x^{3}}{6} \right\rbrack_{0}^{2} = \frac{4}{3}\ sq\ units}$

Q. The area bounded by the curve $y = \frac{1}{2}x^{2}$, the $x$-axis and the ordinate $x = 2$ is

Explanation

Reviewed by Dr. Abubacker

Want more practice?