Answer :

LammettHash

Recall the definition of absolute value: [tex]|x|=x[/tex] if [tex]x\ge0[/tex]. This means

[tex]\displaystyle\int_0^2|x|\,\mathrm dx=\int_0^2x\,\mathrm dx=\frac{x^2}2\bigg|_0^2=\boxed2[/tex]

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