# More obvious pattern recognition

Here’s another one:

It’s not too difficult to substitute:
if then , and so

Were we not in these fortunate circumstance to recognize it, we would have to resort to something like partial integration.
In that case we would choose and , next to and which is ridiculous if you’re not awake by now.
Nevertheless we end up with

and get

and the integral repeats itself.
Luckily

means

so

Well, integration is integration, not only in both ways, but in every way.