Write a program to evaluate the following integral between a and $b.$ Use the trapezoidal approximation to evaluate the integral. The program should prompt the user to enter the parameter $m,$ the lower limit $a,$ upper limit $b,$ and the number of trapezoids $n.$ The range of the parameter must be $\underset{x0}{lim}\frac{sin(mx)}{mx}=1{\displaystyle \underset{a}{\overset{b}{}}}\frac{sin(mx)}{mx}dx$ Area ~$=\frac{b-a}{2n}[g(x_0)+2g(x_1)+$cdots$+2g(x_{n-1})+g(x_n)]$

$x_k=a+k\frac{b-a}{n},k=0,1,$dots,$n$

$g(x)=\frac{sin(mx)}{mx}$

Enter the desired number of trapezoids $($zero to exit$)$: $1000$

Enter the parameter $m<mn\; id="EditorElement\_6870083">0</mn>$

Write a program to evaluate the following integral between a and $b.$ Use the trapezoidal approximation to evaluate the integral. The program should prompt the user to enter the parameter $m,$ the lower limit $a,$ upper limit $b,$ and the number of trapezoids $n.$ The range of the parameter must be $\underset{x0}{lim}\frac{sin(mx)}{mx}=1{\displaystyle \underset{a}{\overset{b}{}}}\frac{sin(mx)}{mx}dx$ Area ~$=\frac{b-a}{2n}[g(x_0)+2g(x_1)+$cdots$+2g(x_{n-1})+g(x_n)]$

$x_k=a+k\frac{b-a}{n},k=0,1,$dots,$n$

$g(x)=\frac{sin(mx)}{mx}$