Mathematics

Mathematics

Problem

Let h(x)={x+20≤x<24−x2≤x≤4h(x)=\begin{cases} x+2 & 0\le x<2 \\ 4-x & 2\le x\le 4 \end{cases}. Evaluate ∫40h(x) dx\displaystyle\int_{4}^{0} h(x)\,dx.

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