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
Posted: Thu Jun 30, 2022 7:50 pm
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.