Explanation Given information: Consider the ∫ 0 2 e − 3 x d x . Calculation: Consider the definite integral ∫ 0 2 e − 3 x d x ∫ 0 2 e − 3 x d x = − 3 e − 3 x | 0 2 = ȡ

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Question

Chapter 4, Problem 30SC

To determine

To find: The given definite integral.

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Chapter 4, Problem 29SC

Chapter 4, Problem 31SC

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Q.10: Find the indefinite integral using trigonometric substitution. Show the substitution process and properly labelled triangle. Show the result in trigonometric form and algebraic form. 3 4x4-36

Use familiar area formulas to evaluate the definite integral.

3. Use the fundamental theorem of calculus to find the exact value of the definite integral. Show all of your work. No calculator, leave your answer in exact form. Use calculus techniques learned in this class. e* dx 1 (1+.

Chapter 4 Solutions

Calculus

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The given definite integral .

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