trig integration

[Martoman]

I think this is covered in the spech course as per the study design.
In any case, I was wondering of some rules or anything that would make integrating disgusting trig functions like or related ones. I know of the three cases if m is odd and n is even blah blah blah, but I was wondering if there is a computational one for trig. Or better yet, if I can turn this into a polynomial, just anything that will restrict thinking to a minimum.

*Edit*: This is a sexy page: http://en.wikipedia.org/wiki/List_of_integrals_of_trigonometric_functions

[Yitzi_K]

yeh I'd love to know this too, we're doing all this crazy integration right now and it's doing my head in.

Although I assume that if there was such a method that simplified the process we'd be taught it.

[Martoman]

HA well vedic maths simplifies a lot of what we are taught in school but it isn't taught to us, so i don't see how that argument holds much water  :angel:

*edit, so as not to double post* /0 or somebody with skillz; can a Weierstrass transformation  be applied to this? If so, can you give me an example so I understand it rather than the airy fairy ones i see on the internet?

[/0]

But this is what u-substitution was designed for :0

While weierstrass substitutions can factor out the trig stuff, it can still be hard, if not harder to deal with the rational functions compared to the original trig functions.
In fact I would much prefer to integrate trigonometric functions than other types of functions, since trig identities usually make them so flexible to work with. If you've got a rational function then unless it's in a nice form it's hard to do much with it.

[Martoman]

I love you /0. Interesting take on it.

[Mao]

How dare I mention this, but how about

It can make life a LOT easier.

[Martoman]

how dare you indeed  :angel:. Although, i am learning about this *like right now* and its absolutely beautiful.