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Student Support Forum > General > > "Integrating over regions"

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Please answer this:1+5 =



Original Message (ID '133337') By Peter Pein:
Hi Emilio, it is better to use the function Boole in place of the If-construct in integrals and to keep in mind that xup or yup are not equal to 1: In[1]:= Integrate[ Boole[x >= y]/((1 - xup) (1 - yup)), {x, xup, 1}, {y, yup, 1}, Assumptions -> (xup < 1 || xup > 1)] /. yup -> xup % // Cancel Out[1]= (1 - 2 xup + xup^2)/(2 (-1 + xup)^2) Out[2]= 1/2 Peter