To calculate: The most general antiderivative of the function
Answer to Problem 1E
The most general antiderivative of the function
Explanation of Solution
Given information:
The function is given as:
Formula used:
The function F is antiderivative of
The function
Power rule:
Calculation:
Consider the function,
The antiderivative of
So, by reverse power ruleIntegrating both sides,
Therefore, integrating the function
Thus, the most general antiderivative of the function is
Now checking the answer by differentiation:
Differentiate the antiderivative function,
apply thepower rule,
So, answer is correct.
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning