Set Im = /2 0 sinm xdx. Use Exercise 73 to prove that I2m = 2m 1 2m 2m 3 2m 2 1 2 2
Chapter 7, Problem 80(choose chapter or problem)
Set Im = /2 0 sinm xdx. Use Exercise 73 to prove that I2m = 2m 1 2m 2m 3 2m 2 1 2 2 I2m+1 = 2m 2m + 1 2m 2 2m 1 2 3 Conclude that 2 = 2 2 1 3 4 4 3 5 2m 2m (2m 1)(2m + 1) I2m I2m+1
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