Question

NEED HELP W AN AP CALC AB QUESTION

Answer 1

Recall the definition of absolute value:
`|x|=x` if
`x\ge0`. This means

`\displaystyle\int_0^2|x|\,\mathrm dx=\int_0^2x\,\mathrm dx=\frac{x^2}2\bigg|_0^2=\boxed2`