Evaluate the following definite integral.
∫−5π65π65sin(x)dx\displaystyle {\int_{{-\frac{{{5}\pi}}{{6}}}}^{{\frac{{{5}\pi}}{{6}}}}}{5}{\sin{{\left({x}\right)}}}{\left.{d}{x}\right.}∫−65π65π5sin(x)dx
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