Python

The function square_wave (x) is defined by \[ \text { square_wave }(x)=\left\{\begin{array}{ll} -\pi / 4 & x2 \pi \end{array} ight. \] Compute an approximation to I=0sinc(t)dt, where sinc(x)={1xsin(x)x=0x=0 do this by using the code for the rectangle rule Then, on the same axes, plot partial_sum (x,100), square_wave (x), and the lines y=2I for 0.2x2+0.2. You should see that the straight lines y=2I show exactly how much the partial sums of the Fourier series differ from the square wave near to the points where the square wave changes value