4. The following problem is an example of WHY we want to write functions as power series i) The following statement is true: The antiderivative of the function f (x) = - DOES NOT exist (you are just going 1+ x to have to take my word for it, but you can try to find it if you want to) ii) We will need sometimes to calculate the following integral: S 1 dx OOT 1 + x4 We found in class that 1 [ (-1) " x " = 1+x+x2 +x ' t . x