6. In this problem you will use the known power series for e* to evaluate an integral. a. Write (or find) the power series for e* centered at a = 0. b. Use your answer to (a) to find a power series centered at a = 0 for f(x) = x²ex. c. Use your answer to (b) to find a power series centered at a = 0 for fx ex dx. d. Use your answer to (c) to find a series representation of f²x²ex² dx.