Construct a $\backslash (\backslash$mathrm$\{$C$\}++\backslash )$ program that numerically evaluates the integral of a specific function $\backslash ($ f $\backslash ).$

Your program must fulfil the following requirements:

$1.$ The user should be allowed to choose any one of the three methods $($Simpson$\text{'}$s Rule, Trapezoidal Rule and Reimann Sum, then reads in the limits $\backslash ($ a$,$ b $\backslash )$ and $\backslash ($ n $\backslash ).$

$2.$ Your program must check whether $\backslash ($ a

Numerical Integration Using Trapezoidal Rule

Enter lower limit of integral: $0$

Enter upper limit of integral: $10$

Enter number of intervals: $20$

The computed value of integral is $16345\mathrm{.}81250$

Do you want to continue processing? Type $\text{'}$y$\text{'}$ if yes, $\text{'}$y$\text{'}$ if no:

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If the Trapezoidal Rule is chosen, the sample input$/$output is as follows:

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Given f$($x$)=$ x$^4-$ x$^3-3$x$^2-4$x $-3.$ There are $3$ ways to numerically

evaluate the function:

Press $1$ for Riemann Sum

Press $2$ for Trapezoidal Rule

Press $3$ for Simpson's Rule

Please enter the method of your choice: $3$

Numerical Integration Using Trapezoidal Rule

Enter lower limit of integral: $10$

Enter upper limit of integral: $0$

Enter number of intervals: $20$

Computation cannot be done. The upper limit must be greater than the

lower limit$.$

Do you want to continue processing? Type $\text{'}$y$\text{'}$ if yes, $\text{'}$y$\text{'}$ if no:

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