I have a function $$\max(1,x)$$ The integral $$I = \int_{0}^{5}\max(1,x)\,dx = \int_{0}^{1}\,dx + \int_{1}^{5}x\,dx = \left[x\right]_{0}^{1}+\left[\frac{x^2}{2}\right]_{1}^{5}=1+\frac{24}{2}=13$$
Am I correct?
2026-04-13 21:13:26.1776114806
Integral of maximum function
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yes, $$x\in[0,5],\,\,\max(1,x)=\begin{cases}1&0\le x<1\\x&1\le x\le 5\end{cases}$$ which looks like:
Linked here