Total change and kinematics from a rate
The following rate model describes a changing quantity
The charge stored in a battery changes at the rate \(R(u)=4\,u - 2\) in coulombs per minute
Time \(u\) is measured in minutes
At time \(1\), the stored charge is \(140\) coulombs
\[u\in\left[1,\;3\right]\]
Give an exact answer