Hey. There's a really difficult parametric question, worth 8 marks, that I have really no idea how to integrate. Find the total area enclosed by the curve, as a multiple of π x=3sint−sin3t,y=3cost−cos3t
The limits are
Unparseable latex formula:
\frac {3\pi}{2}}
and
Unparseable latex formula:
\frac {\pi}{2}}
I've got as far as ∫9cos2t+3cos23t−12costcos3t I can change the first two into terms of cos2t and cos6t, removing the sqaures so that I can integrate but I have no idea how to tackle the last part of the question. Any hints? I 've worked out in another part of the question that cos3t=4cos3t−3cost but I've played with that and it doesn't seem to get me anywhere... Thanks.