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Compute a (х + 2) dx. O x3 + x² + C O x² (x² + 2x)+C x2 + 2x ) + C 2 - + C 2 + x2 + C 3

Compute a (х + 2) dx. O x3 + x² + C O x² (x² + 2x)+C x2 + 2x ) + C 2 - + C 2 + x2 + C 3

Calculus: Early Transcendentals
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 Compute \( \int x(x + 2) \, dx \). ### Multiple Choice Options 1. \( x^3 + x^2 + C \) 2. \( x^2(x^2 + 2x) + C \) 3. \( \frac{x^2}{2} \left( \frac{x^2}{2} + 2x \right) + C \) 4. \( x^3 + \frac{x^2}{2} + C \) 5. \( \frac{x^3}{3} + x^2 + C \) ### Explanation: The problem asks you to calculate the indefinite integral of the expression \( x(x + 2) \). The integral is presented with multiple choice options to select the correct antiderivative followed by an integration constant \( C \). The task involves using integration techniques to solve for the antiderivative that matches one of the provided options.
Transcribed Image Text:### Problem Statement Compute \( \int x(x + 2) \, dx \). ### Multiple Choice Options 1. \( x^3 + x^2 + C \) 2. \( x^2(x^2 + 2x) + C \) 3. \( \frac{x^2}{2} \left( \frac{x^2}{2} + 2x \right) + C \) 4. \( x^3 + \frac{x^2}{2} + C \) 5. \( \frac{x^3}{3} + x^2 + C \) ### Explanation: The problem asks you to calculate the indefinite integral of the expression \( x(x + 2) \). The integral is presented with multiple choice options to select the correct antiderivative followed by an integration constant \( C \). The task involves using integration techniques to solve for the antiderivative that matches one of the provided options.
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