The following Sage code 

<code>
var('u')
integrate(-1/8*(u - 2*min_symbolic(-1/2*u - 1/2, 1/2*u - 1/2) - 1)^2 + 
1/2*(min_symbolic(0, u) + 1)^2,u,-1,1)
</code>

produces 1/2 as a (correct) result with SageMath 8.3 (running with Software 
Environment Ubuntu 18.04 @ 2018-08-27 in CoCalc).

With SageMath 9.3 (running with SE Ubuntu 20.04 in CoCalc) the integral 
doesn't get resolved at all. 

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