Question

${\int }_1^2{x}^{2}dx=$

• A. $\frac{8}{3}$
• B. $\frac{7}{3}$
• C. $\frac{1}{3}$

Answer 1

The correct option is B $\frac{7}{3}$

${\int }_1^2{x}^{2}dx={\left[\frac{x^3}{3}\right]}_1^2$
$=\frac{2^3}{3}-\frac{1^3}{3}$
$=\frac{8}{3}-\frac{1}{3}$
$=\frac{7}{3}$