Mathematics Question on Some Properties of Definite Integrals

Question

The value of $12 \int\limits_0^3\left|x^2-3 x+2\right| d x$ is

Accepted Answer

The correct answer is 22.
120∫3∣∣x2−3x+2∣∣dx
=120∫3∣∣(x−23)2−41∣∣dx
If x−23=t
dx−dt
=240∫3/2∣∣t2−41∣∣dt
=24[−0∫1/2(t2−41)dt+1/2∫3/2(t2−41)dt]=22