Answer the following True or False.
Since ddx7x17=x−67\displaystyle \frac{{d}}{{{\left.{d}{x}\right.}}}{7}{x}^{{\frac{{1}}{{7}}}}={x}^{{-\frac{{6}}{{7}}}}dxd7x71=x−76 , the fundamental theorem of calculus tells us that ∫−11x−67dx=7(117)−7(−1)17=14\displaystyle {\int_{{-{1}}}^{{1}}}{x}^{{-\frac{{6}}{{7}}}}{\left.{d}{x}\right.}={7}{\left({1}^{{\frac{{1}}{{7}}}}\right)}-{7}{\left(-{1}\right)}^{{\frac{{1}}{{7}}}}={14}∫−11x−76dx=7(171)−7(−1)71=14.
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