1t°(1=t)* dt 1+t2 7

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 1
Show that (1-* dt = 22 -
Using the results of (a) and (b) to show that
1
<- 1260
1+t2
22
1
22
[Hint: You may use the fact that:
t*(1 – t)*
1+ t2
= t6 – 4t5 + 5t* –- 4t² + 4 -
7
63 0
7
Remark:
We can conclude that 3.1412 < n< 3.1421.
1+t
(b)
Evaluate f, t*(1 – t)* dt.
Transcribed Image Text:Question 1 Show that (1-* dt = 22 - Using the results of (a) and (b) to show that 1 <- 1260 1+t2 22 1 22 [Hint: You may use the fact that: t*(1 – t)* 1+ t2 = t6 – 4t5 + 5t* –- 4t² + 4 - 7 63 0 7 Remark: We can conclude that 3.1412 < n< 3.1421. 1+t (b) Evaluate f, t*(1 – t)* dt.
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