Given the integral below: cos(x) dx Hint x is in radians Evaluate the integral analytically. Use four significant figures. (2) 1.2. Evaluate the integral using the trapezoidal rule using a for loop. Calculate the cputime, too. (7) 1.3. What is Vectorization and why is it used? (2) 1.4. Estimate the value of the integral using the vectorised form. (7) 1.5. Evaluate the integral using the built-in trapz function. Calculate the cputime, too. (5) 1.6. What is your observation between the cputime in question 1.2 and 1.5? (2) [25 marks]