Definite IntegralsExpress each limit as a definite

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Problem 5PE Chapter 5

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 5PE

Definite Integrals

Express each limit as a definite integral. Then evaluate the integral to find the value of the limit. In each case, P is a partition of the given interval and the numbers ck are chosen from the subintervals of P

 where P is a partition of [1, 5]

Step-by-Step Solution:

Solution:-

Step 1 of 3</p>

Given that

We have to express the limit as a definite integral and  we have to evaluate the integral to find the value of the limit.

Step 2 of 3</p>

We have

where P is a partition of [1, 5]

Clearly, the lower limit is and the upper limit is  and in Riemann sums, the function is

So, we get

So, the integral is

Therefore, the limit as definite integral is

Step 3 of 3

Chapter 5, Problem 5PE is Solved
Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

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