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Consider the integral Solve it two ways:(a) Take the

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 94P Chapter 4

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

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Problem 94P

Consider the integral Solve it two ways:

(a) Take the integral first and then the time derivative.

(b) Use Leibniz theorem. Compare your results.

Step-by-Step Solution:

Part (a)

Step 1:

        The given integral is

        

Step 2:

        Solving it by doing integration and time derivation one by one

         =

         =

Step 3:

        Applying the limits

         =

         = or

Step 4:

        Now differentiating

         =

         =

         =  

This is the final result of the given integral.

Part (b)

Step 5 of 8

Chapter 4, Problem 94P is Solved
Step 6 of 8

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

This full solution covers the following key subjects: integral, results, derivative, Compare, leibniz. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. Since the solution to 94P from 4 chapter was answered, more than 264 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 94P from chapter: 4 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. The answer to “Consider the integral Solve it two ways:(a) Take the integral first and then the time derivative.(b) Use Leibniz theorem. Compare your results.” is broken down into a number of easy to follow steps, and 22 words. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2.

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