Give an example of a step function $s:[-1,3]\rightarrow \mathbb{R}$ such that $s([-1,3])$ contains at least $4$ distinct real numbers and
$\int_{-1}^3 s = \pi\,.$
$s(x)=-20 \text{ if } -1 \leq x <0$
$s(x)=\frac{\pi}{3} \text{ if }0 \leq x < 1$
$s(x)=20 \text{ if }1\leq x < 2$
$s(x)=\frac{2\pi}{3} \text{ if }2\leq x \leq 3$
This seems a little to simple I got worried could yall verify. P.S. sorry couldnt figure out how to fix the code.
If you want to know if your example is right. That's right, just break an integral in the four ranges.