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Results tagged with assumptions
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user 6677
Questions about the function Assuming[], the $Assumptions system variable, and the Assumptions option of functions such as Simplify[] and Integrate[].
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answers
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Why does Assuming[...] work in one case but not in another?
Why does this work
Assuming[α > 0 && ϵ > 0 && t > 0,
FullSimplify @ Integrate[(z^2 Exp[-α t (z^2 + ϵ)])/(z^2 + 1), {z, 0, ∞}]]
(E^(-t α ϵ) (Sqrt[π] - E^(t α) π Sqrt[t α] Erfc[Sqrt[t α]]))/(2 Sqrt …
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