Answer
$6$
Work Step by Step
Set up the integration to find the area bounded by the graphs and the lines, y=0, x=2, and x=0 because it the function passes through 0.
$\int_0^2 (x^3 +x)dx$, Integrate
$[\frac{1}{4}x^4 + \frac{1}{2}x^2]_0^2$, Evaluate definite integral
$(4+2) -0$, Simplify
$6$
