Question

Find the area enclosed by the curve $y=x^2$ and the x-axis for interval x = 1 to x = 3.

• A. 9 sq. units
• B. $\frac{26}{3}$ sq. units
• C. 27.2 sq. units
• D. 10 sq. units

Answer 1

Answer: (B)

$\frac{26}{3}$ sq. units

Area enclosed $={\int }_1^{3}ydx={\int }_1^3{x}^{2}dx={\left[\frac{x^3}{3}\right]}_1^3=\frac{26}{3}sq.units$