Determine the energy, E$,$ from t$=0$ to t$=15$ milliseconds $($ms$).$

PROGRAMMING: Make a plot of the function f$($t$)=(1/$R$)$v$($t$)2$ vs$.$ time $($t$)$ using Matlab.

MANUAL PART: Determine the energy E using the method indicated below. For the first three methods, work with six $(6)$ subintervals. For Simpson's $1/3$ work with eight $(8)$ subintervals, and Simpson's $3/8$ method work with nine $(9)$ subintervals. For each case, work with $(4)$ decimals. Compare the results in a table.

Rectangle method $($left$).$

Midpoint method.

Trapezoidal method.

Simpson's $1/3$ method.

Simpson's $3/8$ method.

PROGRAMMING: Implement all methods of integration in a Matlab program.