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Constraints for boundaries of Integrate[]

Posted 3 years ago

I seek to integrate a function of f(x,y)=1 twice, first over x, then over y. The upper boundary of the first integral is an indifference function of agents, which depends on four variables and y. As I have (1-y) in the denominator, the second integral - without further assumptions - yields the error that the integral does not converge on the integration interval [0,1] for y.

My problem is the following: for a very simple problem, a combination of the functions Min[1,[Max[0,upper boundary]]] works. When making the upper boundary a little more complex, it works as well. However, when applying the actual function, MMA processes for a few minutes and then just restarts the kernel after a "Beep", without any further information or error.

My question is: is there something I am overlooking? Or is there a simpler workaround? I need to calculate the partial derivatives of the integral afterwards and plug them into a FindRoot command afterwards, so I figured that numerical integrals do not work.

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POSTED BY: Lukas Berger
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