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Integrate the function. x² - 25 dx x² - 25 2 - O A. sec +C 25 Vx² - 25 О В. 5 -1 sin + C 5 OC. 5 In Vx² - 25 +C x2 - 25 D. 5 + C sec 5

Integrate the function. x² - 25 dx x² - 25 2 - O A. sec +C 25 Vx² - 25 О В. 5 -1 sin + C 5 OC. 5 In Vx² - 25 +C x2 - 25 D. 5 + C sec 5

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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**Integrate the function:** \[ \int \frac{\sqrt{x^2 - 25}}{x} \, dx \] **Options:** - **A.** \[ \left[ \frac{\sqrt{x^2 - 25}}{25} - \sec^{-1}\left(\frac{x}{5}\right) \right] + C \] - **B.** \[ \left[ \frac{\sqrt{x^2 - 25}}{5} - \sin^{-1}\left(\frac{x}{5}\right) \right] + C \] - **C.** \[ 5 \ln \left(\sqrt{x^2 - 25} - \left(\frac{x}{5}\right) \right] + C \] - **D.** \[ \left[ 5 \frac{\sqrt{x^2 - 25}}{5} - \sec^{-1}\left(\frac{x}{5}\right) \right] + C \] Option **D** is selected.
Transcribed Image Text:**Integrate the function:** \[ \int \frac{\sqrt{x^2 - 25}}{x} \, dx \] **Options:** - **A.** \[ \left[ \frac{\sqrt{x^2 - 25}}{25} - \sec^{-1}\left(\frac{x}{5}\right) \right] + C \] - **B.** \[ \left[ \frac{\sqrt{x^2 - 25}}{5} - \sin^{-1}\left(\frac{x}{5}\right) \right] + C \] - **C.** \[ 5 \ln \left(\sqrt{x^2 - 25} - \left(\frac{x}{5}\right) \right] + C \] - **D.** \[ \left[ 5 \frac{\sqrt{x^2 - 25}}{5} - \sec^{-1}\left(\frac{x}{5}\right) \right] + C \] Option **D** is selected.
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