01-143 2 −14x- 147+ink +1+C 를+2x+ + 2x + inx + 491+C O ) 글 (x+21) (x+7)-491mk+7l+C 01-21(x •21)(x+7) +491mk+1+C 02-14 -14x+147 +491nk+1+C

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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**Evaluate the Integral**

\[
\int \frac{x^2}{x+7} \, dx
\]

**Options:**

1. \(\frac{x^2}{2} - 14x - 147 + \ln|x + 7| + C\)

2. \(\frac{x^2}{2} + 2x + \ln|x + 49| + C\)

3. \(\frac{1}{2}(x + 21)(x + 7) - 49\ln|x + 7| + 7| + C\)

4. \(\frac{1}{2}(x - 21)(x + 7) + 49\ln|x + 7| + 7| + C\)

5. \(\frac{x^2}{2} - 14x + 147 + 49\ln|x + 7| + 7| + C\)
Transcribed Image Text:**Evaluate the Integral** \[ \int \frac{x^2}{x+7} \, dx \] **Options:** 1. \(\frac{x^2}{2} - 14x - 147 + \ln|x + 7| + C\) 2. \(\frac{x^2}{2} + 2x + \ln|x + 49| + C\) 3. \(\frac{1}{2}(x + 21)(x + 7) - 49\ln|x + 7| + 7| + C\) 4. \(\frac{1}{2}(x - 21)(x + 7) + 49\ln|x + 7| + 7| + C\) 5. \(\frac{x^2}{2} - 14x + 147 + 49\ln|x + 7| + 7| + C\)
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Step 1: Evlute the integration

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