Re: intergating sin and cos
\(\displaystyle \int{sin^{3}(x)cos^{3}(x)}dx\)
Rewrite:
\(\displaystyle \int{sin^{3}(x)(1-sin^{2}(x))cos(x)}dx\)
\(\displaystyle \int{(sin^{3}(x)-sin^{5}(x))cos(x)}dx\)
Now, let \(\displaystyle u=sin(x), \;\ du=cos(x)dx\)
make the substitutions and integrate.
