PROBLEM 2 An interesting idea has been given in Iri at all[1] to deal with end point singular,ties in the integral Define Where c is a positive constant and The function Take c=4 for your calculations. 1 = Reference: = [ f(x) dx a y(t) = exp P (-) t (u) du 1 t =]] (u)du As t varies from -1 to 1, p(t) varies from a to b. Using x = o(t) as a change of variable, we obtain p(t) = a + Y = 1 = = b-a Y 1 f(y(t))y' (t) is infinitely differentiable on [-1,1]. Develop a program code in your preffered language fort he algorithm defined above and solve the example problem yr(e) = b = a (t) -4 Y -1 HJA I= -In (x)dx Iri. M. S. Moriguti and Y. Takasawa (1970). On numerical integration formula (in Japanese) J. Res. Inst. Math. Sci. 91. 82. Kyoto Univ. Kyoto Japan