Let In = x" sin (a) Evaluate Io. (b) Show that a reduction formula for In is 2+1 In (7₂) dx, for n = 0,1,2,.... 2 4n(n-1) π² (c) Deduce the value of 12. T In-2, for n ≥ 2.
Let In = x" sin (a) Evaluate Io. (b) Show that a reduction formula for In is 2+1 In (7₂) dx, for n = 0,1,2,.... 2 4n(n-1) π² (c) Deduce the value of 12. T In-2, for n ≥ 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Let
In
2
-6²²²
x" sin
(a)
Evaluate Io-
(b) Show that a reduction formula for In is
2n+1
In
(2) dx, for n = 0,1,2,....
An(n − 1) In-2, for n ≥ 2.
π²
(c) Deduce the value of I2.
π
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