Evaluate.

e7x(e7x+14)4 dx\displaystyle \int\frac{{{e}^{{{7}{x}}}}}{{{\left({e}^{{{7}{x}}}+{14}\right)}^{{{4}}}}}\ {\left.{d}{x}\right.} = +C\displaystyle +{C}

(Note that the constant of integration is already included)