73. Let Im = 7/2 sin" x dx. (a) Show that Io = 5 and I1 = 1. (b) Prove that, for m > 2, Im : т — 1 Im-2 т (c) Use (a) and (b) to compute Im for m = 2, 3, 4, 5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 24E
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73. Let Im =
7/2
sin" x dx.
(a) Show that Io = 5 and I1 = 1.
(b) Prove that, for m > 2,
Im :
т — 1
Im-2
т
(c) Use (a) and (b) to compute Im for m = 2, 3, 4, 5.
Transcribed Image Text:73. Let Im = 7/2 sin" x dx. (a) Show that Io = 5 and I1 = 1. (b) Prove that, for m > 2, Im : т — 1 Im-2 т (c) Use (a) and (b) to compute Im for m = 2, 3, 4, 5.
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