Find the following. Use C for any constant of integration. 5æ4 5 In(|æ|) 8 „2 + C 6 5x³ dx x6 4 5x5 3 Question Help: D Post to forum

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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**Problem Statement:**
Find the following integral. Use \( C \) for any constant of integration.

\[ 
\int \left( 5x^3 - \frac{5}{x} + \frac{6}{x^6} - 4\sqrt{x} \right) \, dx = \frac{5x^4}{4} - 5\ln(|x|) + \frac{6}{5x^5} - \frac{8}{3}x^\frac{3}{2} + C 
\]

**Error Explanation:**
The integral on the right-hand side is marked with a red "X," indicating that the expression may not be correct or fully simplified. 

**Question Help:**
For further assistance or discussion about this problem, click on "Post to forum."
Transcribed Image Text:**Problem Statement:** Find the following integral. Use \( C \) for any constant of integration. \[ \int \left( 5x^3 - \frac{5}{x} + \frac{6}{x^6} - 4\sqrt{x} \right) \, dx = \frac{5x^4}{4} - 5\ln(|x|) + \frac{6}{5x^5} - \frac{8}{3}x^\frac{3}{2} + C \] **Error Explanation:** The integral on the right-hand side is marked with a red "X," indicating that the expression may not be correct or fully simplified. **Question Help:** For further assistance or discussion about this problem, click on "Post to forum."
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