Explanation Given: Givenintegral is ∫ 2 ∞ d x x ( ln x ) p Concept used: Integral test: Consider a series: ∑ n ∞ f ( x ) If ∫ n ∞ f ( x ) d x is finite value, then the series is convergent otherwise it is divergent. Calculation: ∫ 2 ∞ d x x ( ln x ) p = ∫ 2 ∞ 1 ( ln x ) p × d x x Let ln x = t ⇒ 1 x d x = d t At x = 2 , t = ln 2 At x = ∞ , t = ∞ = ∫ ln 2 ∞ d t ( t ) p = ∫ ln 2 ∞ t − p d t = [ t − p + 1 − p + 1 ] ln</

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 7.7, Problem 47PS

To determine

To find the value of p , for which ∫2∞dxx (lnx) p converges and also find the value of integral.

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Chapter 7.7, Problem 46PS

Chapter 7.7, Problem 48PS

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Chapter 7 Solutions

Calculus

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To find the value of p , for which ∫ 2 ∞ d x x ( ln x ) p converges and also find the value of integral.

Solution Summary: The author explains that if the value of p is finite, then the series is convergent or divergent.

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To find the value of p , for which ∫2∞dxx (lnx) p converges and also find the value of integral.

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Chapter 7 Solutions