To show that rπ/2 sin" x cos" x dx: (m - 1) (m- 3) ... × (n – 1) (n - 3)... (m + n) (m + n - 2) (m + n - 4) .. m %3D only if both m and n are even

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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To show that
1/2
(m-1) (m-3).
(m + n) (m +n - 2) (m + n - 4).
(* = .. X (n- 1) (n-3) ..
sin" x cos" x dx
only if both m and n are even
2
Transcribed Image Text:To show that 1/2 (m-1) (m-3). (m + n) (m +n - 2) (m + n - 4). (* = .. X (n- 1) (n-3) .. sin" x cos" x dx only if both m and n are even 2
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