Suppose the acceleration of an object is given by ax(t) = 10t^2 e^0.1t + 1. Assuming the object starts from rest, find the velocity vx(t) between time t=0 and time t=5.0s using trapezoidal integration and a time step of 1.0s.

For the previous problem, keep cutting the time step in half until the velocity at t=5.0s changes by less than 0.1% from the previous time step size. What step size accomplishes this?

Perform the previous integral with the MATLAB integral function