Evaluate the integral.

${\displaystyle \underset{0}{\overset{1}{}}}{x}^{\frac{7}{8}}dx$

Step $1$

An antiderivative of $x^n,$ as long as $n-1,$ is $\frac{x^{n+1}}{n+1}.\frac{x^{n+1}}{n+1}.$

Step $2$

Therefore, an antiderivative of $f(x)=x^{\frac{7}{8}}$ is found as follows.

$F(x)=x$