Question

The value of ${\int }_2^3{x}^2+2x+5dx$ ?

• A. $\frac{49}{3}$
• B. $\frac{47}{3}$
• C. $\frac{52}{3}$
• D. $\frac{50}{3}$

Answer 1

The correct option is A $\frac{49}{3}$

$I={\int }_2^3{x}^2+2x+5dx$

$I={\frac{x^3}{3}+x^2+5x|}_2^3$
$I=9+9+15-\frac{8}{3}-4-10$
$I=19-\frac{8}{3}=\frac{49}{3}$