(a) To complete Example 8, show that x4(1 x)4 1 + x2 = x6 4x5 + 5x4 4x2 + 4 4 1 + x2 (b)

Chapter 7, Problem 53

(choose chapter or problem)

(a) To complete Example 8, show that x4(1 x)4 1 + x2 = x6 4x5 + 5x4 4x2 + 4 4 1 + x2 (b) Show that % 1 0 x4(1 x)4 2 dx % 1 0 x4(1 x)4 1 + x2 dx % 1 0 x4(1 x)4 dx and conclude that 1 1260 22 7 1 630 Use this result to show that 3.140 3.142

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