This *might* work in the PR that I am struggling with that upgrades 
Piecewise. #12587

On Thursday, April 27, 2017 at 11:41:47 PM UTC-5, chaowen guo wrote:
>
> Hi:
>
> import sympy
> x=sympy.symbols('x',real=True)
> sympy.integrate(sympy.Heaviside(x-1)*(x-1)+1,(x,0,2))
>
> the output is 2, which is wrong, the correct answer is 5/2
>
> I try the following Mathematica code:
>
> Integrate[HeavisideTheta[x - 1]*(x - 1) + 1, {x, 0, 2}] which gives me 5/2
>
> also the following piecewise function:
>
> sympy.integrate(sympy.Piecewise((1,x<1),(x,x>1)),(x,0,2)) which gives me 
> the correct answer
>
> So I want to ask whether it is a bug in Heaviside function or there are 
> some special explanations in sympy?
>

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