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Find the most general antiderivative. pavente dx 07/22-2√x + C OC 0.3√x+C 0 2+√x - 7/7 + C

Find the most general antiderivative. pavente dx 07/22-2√x + C OC 0.3√x+C 0 2+√x - 7/7 + C

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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**Finding the Most General Antiderivative** Evaluate the integral: \[ \int \frac{x \sqrt{x} + \sqrt{x}}{x^2} \, dx \] Choose the correct antiderivative from the options below: A. \( \frac{2}{\sqrt{x}} - 2\sqrt{x} + C \) B. \( C \) C. \( -\frac{\sqrt{x}}{2} - \frac{3\sqrt{x}}{2} + C \) D. \( 2\sqrt{x} - \frac{2}{\sqrt{x}} + C \) Here, \(C\) represents the constant of integration.
Transcribed Image Text:**Finding the Most General Antiderivative** Evaluate the integral: \[ \int \frac{x \sqrt{x} + \sqrt{x}}{x^2} \, dx \] Choose the correct antiderivative from the options below: A. \( \frac{2}{\sqrt{x}} - 2\sqrt{x} + C \) B. \( C \) C. \( -\frac{\sqrt{x}}{2} - \frac{3\sqrt{x}}{2} + C \) D. \( 2\sqrt{x} - \frac{2}{\sqrt{x}} + C \) Here, \(C\) represents the constant of integration.
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