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Find an antiderivative of the given function. x7 1 A) 7 1 736 B) 8 6x 6 1 C) 1 8 8% 8 D) 7x6 +

Find an antiderivative of the given function. x7 1 A) 7 1 736 B) 8 6x 6 1 C) 1 8 8% 8 D) 7x6 +

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
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**Problem:** Find an antiderivative of the given function: \[ x^7 - \frac{1}{x^7} \] **Options:** - A) \[ \frac{x^8}{7} - \frac{1}{7x^6} \] - B) \[ \frac{x^8}{8} + \frac{1}{6x^6} \] - C) \[ \frac{x^8}{8} - \frac{1}{8x^8} \] - D) \[ 7x^6 + \frac{1}{7x^6} \] **Hint for Question 7:** Finding the antiderivative is the same as integrating with respect to \( x \).
Transcribed Image Text:**Problem:** Find an antiderivative of the given function: \[ x^7 - \frac{1}{x^7} \] **Options:** - A) \[ \frac{x^8}{7} - \frac{1}{7x^6} \] - B) \[ \frac{x^8}{8} + \frac{1}{6x^6} \] - C) \[ \frac{x^8}{8} - \frac{1}{8x^8} \] - D) \[ 7x^6 + \frac{1}{7x^6} \] **Hint for Question 7:** Finding the antiderivative is the same as integrating with respect to \( x \).
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