(adsbygoogle = window.adsbygoogle || []).push({}); The problem statement, all variables and given/known data

This isn't really homework, but a question I came upon when doing my homework.

How can I go from an integral with limits 0 and a:

[itex]

\int_0^a f(x) dx

[/itex]

to something with limits 0 and [itex]\infty[/itex] (still giving the same answer)

[itex]

c\int_0^\infty f(u) du

[/itex]

, where [itex]c[/itex] is some kind of constant.

The attempt at a solution

I've tried substituting [itex]x[/itex] with [itex]tan(\frac{\pi x}{2a})[/itex], since this seems to give the correct limits, but I don't know if it makes any sense, and what to do next (how to find c for example).

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# Homework Help: Changing integration limits from [0,a] to [0, inf)

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