Re: MX2 2015 Integration Marathon
\begin{align*}
\int \cos^6 x \sin^6 x \, dx &= \int 2^{-6} \sin^6 2x \, dx\\
&= 2^{-6} \int (\sin^3 2x)^2 \, dx\\
&= 2^{-6} \int (\frac{3\sin 2x - \sin 6x}{4})^2 \, dx\\
&= 2^{-10} \int 9\sin^2 2x - 6\sin 2x \sin 6x + \sin^2 6x \, dx\\
&= 2^{-10} \int...