Pregunta: Evaluate the integral. ∫3sin32xcos32xdx ∫3sin32xcos32xdx=

Note: the formula of integration and derivative:

$1)\int {\mathrm{x}}^{\mathrm{n}}\mathrm{d}\mathrm{x}=\frac{{\mathrm{x}}^{\mathrm{n}+1}}{\mathrm{n}+1}+\mathrm{c},$ where c=integrating constant.

2) $\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left(\sin \mathrm{a}\mathrm{x}\right)=\mathrm{a}\cos \mathrm{a}\mathrm{x}$