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(a) Show that (1-t)" dt = 22 – n. [Hint: You may use the fact that: t*(1- t)* 1+t² = t6 – 4t5 + 5¢* – 4t² + 4 – (c) Using the resnlts of (a) and (b) to show that 14t 1260 Remark: We can conchide that 3.1412 < n < 3.142 b) Evaluate f, t*(1 – t)* dt.

(a) Show that (1-t)" dt = 22 – n. [Hint: You may use the fact that: t*(1- t)* 1+t² = t6 – 4t5 + 5¢* – 4t² + 4 – (c) Using the resnlts of (a) and (b) to show that 14t 1260 Remark: We can conchide that 3.1412 < n < 3.142 b) Evaluate f, t*(1 – t)* dt.

Advanced Engineering Mathematics
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 I °(1-t)* dt = 2 - T. Using the results of (a) and (b) to show that 22 1 7 Show that 1+t2 22 ,<π<5 [Hint: You may use the fact that: t*(1 – t)* 63 0 7 1260 Remark: 1+t2 We can conclude that 3.1412 < n < 3.1421. = t6 – 4t5 + 5t* – 4t2 + 4 -- 1+2 (b) Evaluate f t*(1 – t)* dt.
Transcribed Image Text:Question 1 I °(1-t)* dt = 2 - T. Using the results of (a) and (b) to show that 22 1 7 Show that 1+t2 22 ,<π<5 [Hint: You may use the fact that: t*(1 – t)* 63 0 7 1260 Remark: 1+t2 We can conclude that 3.1412 < n < 3.1421. = t6 – 4t5 + 5t* – 4t2 + 4 -- 1+2 (b) Evaluate f t*(1 – t)* dt.
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