In this question you will find a general formula for the following: fx" (In(x))² dx where n is an unknown constant (a) Use Integration by Parts twice to determine this integral. (b) The approach in (a) works for all values of n except one. What value of n does your formula in part (a) not apply to? (c) Determine the above integral for the single value of n that was not covered in your work

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.CR: Chapter 8 Review
Problem 3CR
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In this question you will find a general formula for the following:
Jx" (In(x))²dx
where n is an unknown constant
(a) Use Integration by Parts twice to determine this integral.
(b) The approach in (a) works for all values of n except one. What value of n does your
formula in part (a) not apply to?
(c) Determine the above integral for the single value of n that was not covered in your work
from part (a).
Transcribed Image Text:In this question you will find a general formula for the following: Jx" (In(x))²dx where n is an unknown constant (a) Use Integration by Parts twice to determine this integral. (b) The approach in (a) works for all values of n except one. What value of n does your formula in part (a) not apply to? (c) Determine the above integral for the single value of n that was not covered in your work from part (a).
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