I want to find the following integration.

I=integral_{t=x}^y I_{x<=y}t, where I_{x<=y} is the indicator function whose
value is 1 when x<=y, else 0.

So, value of I=(y^2-x^2)/2 if x<=y
                   =0               if x>y

Does Sage  provide this kind of symbolic integration?

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