Answer
$\frac{52}{3}$
Work Step by Step
Set up the integration to find the area bounded by the graphs and the lines,x=0, x=2
$\int_0^2 (5x^2 +2)dx$, Integrate
$[\frac{5}{3}x^3 +2x]_0^2$, Evaluate the definite integral
$(\frac{40}{3} +4) -0$, Simplify
$\frac{52}{3}$
