2. There is no easy way of exactly evaluating the integral i 2 l 2/ 46:\" (13:. n in this question we will use Maclaurin polynomials to approximate I . (a) Determine P3 (3:), the cubic Maclaurin polynomial of the integrand 46.32 of I. (b) Obtain an upper bound on the error in the integrand for :1: in the range 0 g :1: g i, when the integrand is approximated by 32(33)- (0) Find an approximation for I by integrating 133(33) (d) Obtain an upper bound on the error in the integration in (c) (e) Use MATLAB to verify your calculation in (a)