Find the anti-derivative for 7580x2dx\displaystyle \int\frac{{7}}{\sqrt{{{5}-{80}{x}^{{2}}}}}{\left.{d}{x}\right.}= +C\displaystyle +{C}    

Evaluate the definite integral 14147580x2dx\displaystyle {\int_{{-\frac{{1}}{{4}}}}^{{\frac{{1}}{{4}}}}}\frac{{7}}{\sqrt{{{5}-{80}{x}^{{2}}}}}{\left.{d}{x}\right.}=