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Sinc In (x+15) dx Choose the correct answer below. OA. (x+15)+ In (x + 15) + C Oc. (x+15) In (x+15) -X+C E. (x+15) In (x+15) - X (x+15)² +C ... B. x In (x+15)-x+ C D. x In (x+15) + C OF. (x+15) In (x + 15)-x (x+15) +C

Sinc In (x+15) dx Choose the correct answer below. OA. (x+15)+ In (x + 15) + C Oc. (x+15) In (x+15) -X+C E. (x+15) In (x+15) - X (x+15)² +C ... B. x In (x+15)-x+ C D. x In (x+15) + C OF. (x+15) In (x + 15)-x (x+15) +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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Question
**Integral of a Logarithmic Function** Evaluate the integral: \[ \int \ln (x + 15) \, dx \] Choose the correct answer below: - **A.** \((x + 15) + \ln (x + 15) + C\) - **B.** \(x \ln (x + 15) - x + C\) - **C.** \((x + 15) \ln (x + 15) - x + C\) - **D.** \(x \ln (x + 15) + C\) - **E.** \(\frac{(x + 15) \ln (x + 15) - x}{(x + 15)^2} + C\) - **F.** \(\frac{(x + 15) \ln (x + 15) - x}{(x + 15)} + C\) --- **Notes:** - The variable \(x\) represents a real number. - \(C\) denotes the constant of integration, which accounts for any constant value that could be included after integrating. - Each option represents a potential antiderivative of the given integral, taking into account the integration rules for logarithmic functions.
Transcribed Image Text:**Integral of a Logarithmic Function** Evaluate the integral: \[ \int \ln (x + 15) \, dx \] Choose the correct answer below: - **A.** \((x + 15) + \ln (x + 15) + C\) - **B.** \(x \ln (x + 15) - x + C\) - **C.** \((x + 15) \ln (x + 15) - x + C\) - **D.** \(x \ln (x + 15) + C\) - **E.** \(\frac{(x + 15) \ln (x + 15) - x}{(x + 15)^2} + C\) - **F.** \(\frac{(x + 15) \ln (x + 15) - x}{(x + 15)} + C\) --- **Notes:** - The variable \(x\) represents a real number. - \(C\) denotes the constant of integration, which accounts for any constant value that could be included after integrating. - Each option represents a potential antiderivative of the given integral, taking into account the integration rules for logarithmic functions.
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