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Question: How can I go from the lhs to the rhs in those two equalities?

Question:How can I go from the lhs to the rhs in those two equalities?

mmcdara 6670 Maple
integration heaviside dirac
February 19 2024
1


Assuming u and v are both real, I want to prove this equality.

int(Dirac(u-v), [u, v])  = min(u, v)

To be clear, I don't want to verify is this equality is true, but I want (I would like) to do is to get its rhs by using ad hoc transformations of its lhs.

Under the same assumptions, how can I do the same thing for this equality?

int(Dirac(u+v-1), [u, v]) = max(u+v-1, 0)


Thanks in advance
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