Question

Evaluate the integral
${\int }_{-1}^1|x^2-3x+2|dx$

• A. $2$
• B. $1$
• C. $14/3$
• D. $3/7$

Answer 1

The correct option is C $14/3$

${\int }_{-1}^1|x^2-3x+2|dx$

${\int }_{-1}^1|(x-2)(x-1)|dx$

$={\int }_{-1}^1(x^2-3x+2)dx$

$=\frac{x^3}{3}{|}_{-1}^1+2x{|}_{-1}^1$

$=\frac{2}{3}+4$