The following integral is given as a function of "x" as: X F(x) = [In(t)e Sin (1) dt 20 We want to calculate this form of integral using Taylor series expansion. Write all your calculations in detail at each iteration. a) Calculate the function value F(x-25) using the function properties evaluated at point x=20. Starting from the lowest term in Taylor series, find your approximate F(x=25) values. Find 7 approximation values using Taylor series expansion and comment on approximate error. b) Calculate the function value F(x=21) using the function properties evaluated at point x=20. Starting from the lowest term in Taylor series, find your approximate F(x=21) values. Find 7 approximation values using Taylor series expansion and comment on approximate error.