(a) By completing the square, show that y 1y2 0 dx x 2 2 x 1 1 3s3 (b) By factoring x 3

Chapter 11, Problem 42

(choose chapter or problem)

(a) By completing the square, show that y 1y2 0 dx x 2 2 x 1 1 3s3 (b) By factoring x 3 1 1 as a sum of cubes, rewrite the integral in part (a). Then express 1ysx 3 1 1d as the sum of a power series and use it to prove the following formula for : 3s3 4 o ` n0 s21d n 8n S 2 3n 1 1 1 1 3n 1 2 D

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