Answer
$$\frac{-13}{10}$$
Work Step by Step
\begin{align*}
\int_{0}^{1}\left(x^{7 / 3}-2 x^{1 / 4}\right) d x&=\left(x^{7 / 3}-2 x^{1 / 4}\right) \bigg|_{0}^{1}\\
&= \frac{3}{10}x^{10/3} -\frac{8}{5}x^{5/4}\bigg|_{0}^{1}\\
&= \frac{3}{10} -\frac{8}{5}\\
&=\frac{-13}{10}
\end{align*}
