Approximate Integration) Consider the function g(x) = sin(x?). a) Use the Midpoint Rule with n = 6 intervals to approximate g(x) dr. [4] -1 b) Find the necessary number of intervals a that guarantees that using the Midpoint Rule to ap- proximate , g(z) dz will result in an error of at most 0.001. [6] Note: You may use Desmos here, and the fact that g"(x) = 2cos(x?) - 4x sin(x?)