20. (a) Use term by term integration to show f In+) dæ – 1– + - +... (justify whyterm-by-term integration is allowed).Recall from lectures Euler's formula that E 1/k² = n² /6. Use this to deduce that1. 142111+32and...228224Deduce thatIn(1+1)2 dx = n²/12.

We apply term by term integration to find the given integration and using Euler's formula to deduce…

Answered: 20. (a) Use term by term integration to…

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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20. (a) Use term by term integration to show f, In(l+1).dr – 1 – + - +... (justify why term-by-term integration is allowed). Recall from lectures Euler's formula that , 1/k² = n? /6. Use this to deduce that 1 1 1 1 1+ + 32 52 1 and 22 62 82 72 ... 42 24 Deduce that In(1+=) dx = n² /12.