Question

Let $A$ be the area bounded by the curve $y=x|x-3|$, the $x$-axis and the ordinates $x=-1$ and $x=2$ Then $12 A$ is equal to _____

Answer 1

The correct answer is 62.
A=−1∫0​(x2−3x)dx+0∫2​(3x−x2)dx
⇒A=3x3​−23x2​∣∣​−10​+23x2​−3x3​∣∣​02​
⇒A=611​+310​=631​
∴12A=62