3 ii) Use the trapezoidal rule to perform the integration sin xax a) Using 4 increments b) Using 8 increments c) Using 12 increments d) Calculate the error for each case. (Hint: The exact solution that should be used to calculate the error is given as: sin xx= cosa-cosb) Note: Another form of the Trapezoidal Rule that approximates the area under the curve with a sequence of trapezoids is given here. The trapezoidal rule states that to approximate 1. f(x) dx, use T = = (No + 2y , + 2 y , to + 2 yz- +y.) (for n subintervals of length h = (b - a) and y k = f (xk))