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We can use the result from the previous to solve a classical integral

We may first, of symmetry reasons, rewrite it as

There is several ways to continue from this, but here will use the result from the previous section – and a bit of complex analysis. We will use one of the formulas from the page on some trig identities. We have that

Substituting this into our integral we get

But wait a minute, that’s just an integral of the form we solved in the previous section:

We thus have *p*= –*i* and *q*=*i*. This would give us

But since

we get

This would finally give us

One might as about if one really could do this, and if so, under what conditions – but the answer to that has to wait until a future page.

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