Answer
$-\frac{27}{20}$
Work Step by Step
$ \int^0_{-1} (t^{\frac{1}{3}} -t^{\frac{2}{3}})dt$
$ (\frac{3}{4} t^{\frac{4}{3}} - \frac{3}{5}t^{\frac{5}{3}})]^0_{-1}$, Integrate
$(0)-(\frac{3}{4}+\frac{3}{5})$, Take Definite Integral
$-\frac{27}{20}$, Simplify
