Numerical Analysis I

Please write the program in MATLAB - the language will be MATLAB as it is it's own language.

Take Home Problem (20%) We wish to evaluate the integral ,72 d.a for some integer n >0. Corresponding to n 0, we have lo In 1.20.1823215. a For n > 0, show that , 51n-1- b Write a program to evaluate ho using (1). Start with 1 0.1823215. c Note that (1) may be rewritten as 1 (1 I, Im Write a program to evaluate 1o using (2). Start with 1200. Experiment with various starting values for 12o. For example, let (i) 120 0.1 and (ii) /20 0.005. Take Home Problem (20%) We wish to evaluate the integral ,72 d.a for some integer n >0. Corresponding to n 0, we have lo In 1.20.1823215. a For n > 0, show that , 51n-1- b Write a program to evaluate ho using (1). Start with 1 0.1823215. c Note that (1) may be rewritten as 1 (1 I, Im Write a program to evaluate 1o using (2). Start with 1200. Experiment with various starting values for 12o. For example, let (i) 120 0.1 and (ii) /20 0.005