2 . . . . 2. In class we've often used c\"6 as an example of a function whose antiderivative we can't write down using functions we know. Since we last said that however, we've learned about some new kinds of functions 7 power series. 2 ((1) Write down the power series for the function f(:r) such that f'(:r) = 6\"\" and M) = 3- 3:2 (6) Write down the power series for the function g($) such that g'(33) = e'? and 9(0) = 0- 2 The denite integral f 617 dzr; (for different values of z) is important in probability. 0 (c) Find the value of the integral when 2: = 1 to within 106. (Use the Fundamen- tal Theorem of Calculus, your answer to (b) and the method of Homework 22, Question 3)