Integrate the following function both analytically and numerically. For the numerical evaluations use 

(a) Single application of, the trapezoidal rule; 

(b) Simpson’s 1/3 rule; 

(c) Simpson’s 3/8 rule; 

(d) Multiple application of Simpson’s rules with n = 5; 

(e) Bole’s rule; 

(f) The midpoint method; 

(g) The 3-segrnent-2-point open integration formula; and 

(h) The 4-segment--3-point open integration formula.

Compute percent relative errors for the numericalresults.

-3. (5 +3 cos.x) dx