An integrand with a corner

Evaluate $\displaystyle\int_{0}^{3}\lvert x-2\rvert\,dx$ .

Show hints (2)+

$\lvert x-2\rvert$ changes formula at $x=2$ : it is $2-x$ left of $2$ and $x-2$ right of $2$ .
Split at $x=2$ and add the two integrals; a negative total means you forgot the absolute value.

Answer

Reveal answer →

2.5

Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.

Asked at: Timed Mental-Math & Sequences, EV & Betting Games