Answer
$20$
Work Step by Step
Set up the integration to find the area bounded by the graphs and the lines, x=0, x=8, and y=0
$\int_0^8 (1+\sqrt[3] x)dx$, Integrate
$[x+\frac{3}{4}x^{\frac{4}{3}}]_0^8$, Evaluate the definite integral
$(8+12) - (0)$, Simplify
$20$
