Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
7
![**Problem Statement:**
Find the most general antiderivative.
\[
\int \left( \frac{1}{x^4} - x^4 - \frac{1}{6} \right) \, dx
\]
**Answer Choices:**
- A) \(-4x^3 - 4x^4 + C\)
- B) \(\frac{1}{5x^5} - \frac{x^3}{3} + \frac{1}{36} + C\)
- C) \(\frac{1}{4x^5} - \frac{x^5}{5} - \frac{1}{6x} + C\)
- D) \(-\frac{1}{3x^3} - \frac{x^5}{5} - \frac{x}{6} + C\)
(Note: \(C\) is the constant of integration.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb034729f-db63-4235-9b33-79c3c77be50a%2Fd95cf308-f230-4407-9398-1552a728ad5c%2Frjxkeqd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the most general antiderivative.
\[
\int \left( \frac{1}{x^4} - x^4 - \frac{1}{6} \right) \, dx
\]
**Answer Choices:**
- A) \(-4x^3 - 4x^4 + C\)
- B) \(\frac{1}{5x^5} - \frac{x^3}{3} + \frac{1}{36} + C\)
- C) \(\frac{1}{4x^5} - \frac{x^5}{5} - \frac{1}{6x} + C\)
- D) \(-\frac{1}{3x^3} - \frac{x^5}{5} - \frac{x}{6} + C\)
(Note: \(C\) is the constant of integration.)
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