Question

The value of ${\int }_1^3{x}^{2}dx$ is:

• A. $\frac{26}{3}$
• B. $\frac{28}{3}$
• C. $\frac{25}{3}$
• D. None of these

Answer 1

The correct option is A $\frac{26}{3}$

Consider the given integral.

$I={\int }_1^3{x}^{2}dx$

$I={\left[\frac{x^3}{3}\right]}_1^3$

$I=\left[\frac{3^3-1^3}{3}\right]$

$I=\left[\frac{27-1}{3}\right]$

$I=\frac{26}{3}$

Hence, this is the answer.