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Old 01-12-2019, 09:37 AM
Colymbosathon ecplecticos's Avatar
Colymbosathon ecplecticos Colymbosathon ecplecticos is offline
Join Date: Dec 2003
Posts: 6,147

You are confusing definite integrals and anti-derivatives.

When you do integration by parts, you select u and dv. You then compute du and v. v is an antiderivative for dv.

You know that the definite integral of dv from 0 to infinity is one. That does not mean that v is one.

An example of such a dv(t) is exp(-t).
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