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4 votes
1 answer
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Confusing cases in Piecewise

The following FullSimplify[Integrate[Exp[I ω t] Sin[ω x]/ω, {ω, 0, ∞}, Assumptions -> t > 0 && x > 0]] gives a piecewise output of the form I ...
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4 votes
1 answer
117 views

Simplify integral with piecewise expression

How can I simplify this integral? Integrate[Piecewise[{{c[x], 0 <= x <= 1/2}, {0, True}}], {x, 0, 1}] I think it should be the same as ...
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