3. (15 points) Show that for any integer n ≥ 1, [₁ (1-2²)" dx = Hint: Define In where n! = nx (n-1)xx2x1 and (2n+1)!= (2

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3. (15 points) Show that for any integer n ≥ 1, [₁ (1-2²)" dx = Hint: Define In where n! = nx (n-1)xx2x1 and (2n+1)!= (2

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3 15 Points Show That For Any Integer N 1 1 2 Dx Hint Define In Where N Nx N 1 Xx2x1 And 2n 1 2 1
3 15 Points Show That For Any Integer N 1 1 2 Dx Hint Define In Where N Nx N 1 Xx2x1 And 2n 1 2 1 (10.56 KiB) Viewed 58 times
3. (15 points) Show that for any integer n ≥ 1, [₁ (1-2²)" dx = Hint: Define In where n! = nx (n-1)xx2x1 and (2n+1)!= (2n+1)x (2n) x (2n-1) x... x 2 x 1. = [² (₁1-2²) 22 (n!)² (2n + 1)!' x²)" dx.
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