Consider the function y(x) = ln(1+x). (a) derive the taylor series for y(x) up to and including terms of 0(x). (b) use the series to estimate the value of the integra 1 ln(1 + x) dx lue of the integral 3x (c) compare your answer using terms up to 0(x+) and then 0(x) with the solution obtained in some other manner (exact, wolfram alpha, and comment. what is the percentage error for each?