Chapter 24, Problem 33P

Suppose that the current through a resistor is described by the function

$i\left(t\right)={\left(60-t\right)}^2+\left(60-t\right)\sin \left(\sqrt{t}\right)$

and the resistance is a function of the current,

$R=10i+2i^{2/3}$

Compute the average voltage over $t=0$ to 60 using the multiple segment Simpson's $1/3$ rule.