Need help with a quick integral q plz!!

[VCE1996]

Hey y'all,

I'm not too good with finding integrals.. was hoping someone could show working out and solutions? Would help me out a lot. Thanks

Find the integral for

sin^101(x) . cos^3(x)

[plato]

This is really a silly, unnecessarily difficult integral which does not belong in Math Methods anyway. This type, but still much simpler, is in the Specialist Maths curriculum.
You will not get anything this involved in the examination and spec students would not get it there either..
I suggest you either leave this well alone or just use CAS to integrate it.
Stick with the more reasonable integration exercises from your text book.