F (n) = (In x)", x > 0, n = 1,2, ....ThenF (n) dx =F (п) — п/F (п — 1) dx|XF (п) — п F (п — 1) dx О-xF (n) + n f F (n – 1) dxF (n) + n f F (n – 1) dx

Answered: Image /qna-images/answer/5945cfb1-a6fe-45dc-b173-9327e4600200.jpg

Answered: F (n) = (In x)", x > 0, n = 1, 2, ....…

F (n) = (In x)", x > 0, n = 1, 2, .... Then F (n) dx = %3D F (n) – n § F (n – 1) dx | xF (n) – n ƒ F (n – 1) dx xF (n) + n f F (n – 1) dx F (n) + n ƒ F (n – 1) dx

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

F (n) = (In x)", x > 0, n = 1,2, ....
Then
F (n) dx =
F (п) — п/F (п — 1) dx
|
XF (п) — п F (п — 1) dx О
-
xF (n) + n f F (n – 1) dx
F (n) + n f F (n – 1) dx

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