Question

The value of ${\int }_1^5{x}^{2}dx$ is

• A. $\frac{125}{3}$
• B. $\frac{124}{3}$
• C. $\frac{1}{3}$
• D. $45$

Answer 1

The correct option is B $\frac{124}{3}$

By using the formula, $\int x^n=\frac{x^{n+1}}{n+1}$
${\int }_1^5{x}^2={\left[\frac{x^3}{3}\right]}_1^5=[\frac{5^3}{3}-\frac{1^3}{3}]=\frac{124}{3}$