Ensure the approximate answer is to 12 decimal places and be sure to use the midpoint, trapezoidal, and Simpson rule. Also how many sub intervals you use for each method.

For the function f(x) = sin approximate 0.01 f(x) dx Jo.001 correct to twelve decimal places. Use the midpoint rule, trapezoidal rule, and Simson rule. How many subintervals were needed for each method? Write a short paragraph describing your process (include the software and resources you used)