Answer the following True or False.

If a < b and the graph of  $\displaystyle {y}={f{{\left({x}\right)}}}$  always lies above the graph of $\displaystyle {y}={g{{\left({x}\right)}}}$  then

      $\displaystyle {\int_{{{a}}}^{{b}}}{\left({f{{\left({x}\right)}}}-{g{{\left({x}\right)}}}\right)}{\left.{d}{x}\right.}>{0}$.