To find: The function in the form
Answer to Problem 21E
The function in the form
Explanation of Solution
Given:
The derivative of the function is
Concept used:
The fundamental theorem of calculus part 1 can be stated as the derivative of the continuous function at every point
The fundamental theorem of calculus part 2 can be stated as if
Calculation:
It is given that
Use the fundamental theorem of calculus part 1 to obtain the value of
Therefore, the value of
Consider
Substitute
It is given that the value of
Now solve the function
Therefore, the required function is
Conclusion:
Thus, the required function is
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus
University Calculus: Early Transcendentals (3rd Edition)
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