Answer the following True or False.

Letting u=4x2\displaystyle {u}={4}-{x}^{{2}} produces:

 042x4x2dx=4121udu\displaystyle {\int_{{0}}^{{{4}}}}\frac{{-{2}{x}}}{{{4}-{x}^{{2}}}}{\left.{d}{x}\right.}={\int_{{4}}^{{-{{12}}}}}\frac{{1}}{{u}}{d}{u}.