$x(t)=\{\begin{array}{cc}1,& |t|a\\ 0,& |t|>a\end{array}$

The result for it is $\frac{2}{w}sin(wt)=2$asinc$(wa)$

But my problem is number $6,$ that depends on this

Problem $6$

Verify Parseval's theorem numerically by using the expression for the Fourier transform of the

rectangular pulse you obtained in Problem $2,$ and the Matlab function:

integral $($fun$,$ xmin, xmax$)$

which performs a numerical integration of a given function fun from xmin to xmax.

Assume $a=\frac{1}{2}.$ You may use your best judgement to determine suitable values of $x$ min to

xmax.

Note:

In Matlab, you can define a function fun of a variable $x$ using:

fun $=0(x)$ expression in terms of $x_{{?}_{}}$

For example, $f(x)=e^{-x}cos(x^2)$ can be defined as fun $=e(x)exp(-x){*}^{***}cos(x{*}^{{?}^{?}}{?}^{{?}^{{?}^{?}}}2)$