Change the Cartesian integral to an equivalent polar integral, and then evaluate. 1 dy dx - 5 25-x2 1+x n(5 + In 6) O A. 2 n(5 - In 6) O B. 2 n(5 - In 6) OC. 4 n(5 + In 6) OD. 4
Change the Cartesian integral to an equivalent polar integral, and then evaluate. 1 dy dx - 5 25-x2 1+x n(5 + In 6) O A. 2 n(5 - In 6) O B. 2 n(5 - In 6) OC. 4 n(5 + In 6) OD. 4
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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![**Question:**
Change the Cartesian integral to an equivalent polar integral, and then evaluate.
\[
\int_{-5}^{5} \int_{-\sqrt{25-x^2}}^{\sqrt{25-x^2}} \frac{1}{1+\sqrt{x^2+y^2}} \, dy \, dx
\]
**Options:**
- A. \(\frac{\pi(5 + \ln 6)}{2}\)
- B. \(\frac{\pi(5 - \ln 6)}{2}\)
- C. \(\frac{\pi(5 - \ln 6)}{4}\)
- D. \(\frac{\pi(5 + \ln 6)}{4}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04b79f93-1af9-48c9-aa0f-fe250b5d304e%2Fc428bb04-fe79-4897-859a-5f6e3924e33c%2Frkfrcm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Change the Cartesian integral to an equivalent polar integral, and then evaluate.
\[
\int_{-5}^{5} \int_{-\sqrt{25-x^2}}^{\sqrt{25-x^2}} \frac{1}{1+\sqrt{x^2+y^2}} \, dy \, dx
\]
**Options:**
- A. \(\frac{\pi(5 + \ln 6)}{2}\)
- B. \(\frac{\pi(5 - \ln 6)}{2}\)
- C. \(\frac{\pi(5 - \ln 6)}{4}\)
- D. \(\frac{\pi(5 + \ln 6)}{4}\)
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