(a; 4pts) By completing the square, show that 1/2 d3: 1r f0 9:2 a: + 1 _ 3\\/ (b) By factoring :33 + 1 as a sum of cubes, rewrite the integral in (a). Then express 1/(m3+1) as the sum of a power series and use it to show that =(1)n( 2 1 ) 4 _ 8\" 3n+1+3n+2 nO 7T