005 10.0 points Evaluate the integral f(x)= | as a power series. x S 13 ds. - n=0 1. f(x) = (-1)x3n+2 3n+2 2. f(x) 3. f(x) = = 4. f(x) = n=0 n =0 n =0 5. f(x) = n=3 x3n+2 3n+2 (-1)n 3n 3n x3n 3n+2 004 10.0 points Find a power series representation for 4 + 2x 1+x 1 Hint: separate then use the series for 1+x 003 10.0 points Find a power series representation for the function 1 f(x) = 4-x3 x3n 1. f(x) = 2. f(x) = = 3. f(x) = 4. f(x) = 5. f(x) = - 6. f(x) = - n=0 - 4n+1 - 43 n=0 n=0 n=0 n=0 43 3 43 xn 4n+1 43 n=0