The following integral is given d with ,-2 Calculate the integral. TIP: Some trigonometric systems have important characteristics that will help you simplifying the given integral. What is that characteristic and how does it simplify the integral? (10 pts) Question 4: The following spectrum (frequency domain plot) represents the Fourier coefficients fora pure Fourier sine series that is depending on time. Question 4 Fourier Coefficient n/2 0 0 r/3 t/2 L- (4 Pts) Write down the Fourier series as you can derive it from the spectrum a) b) Use Matlab to draw the function in the time domain from t 0 to 4T. Label all axis properly and attach a copy of the plot to this assignment. (3 Pts)