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Evaluate the indefinite integral. (Use C for the constant of integration.) 8t dt 8t + 9

Evaluate the indefinite integral. (Use C for the constant of integration.) 8t dt 8t + 9

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
**Evaluate the Indefinite Integral:** Evaluate the indefinite integral. (Use \( C \) for the constant of integration.) \[ \int \frac{8^t}{8^t + 9} \, dt \] **Explanation:** This expression represents an indefinite integral of the function \(\frac{8^t}{8^t + 9}\) with respect to \(t\). Solving this integral involves finding a function whose derivative yields the integrand, and the solution will include an arbitrary constant of integration, denoted as \(C\).
Transcribed Image Text:**Evaluate the Indefinite Integral:** Evaluate the indefinite integral. (Use \( C \) for the constant of integration.) \[ \int \frac{8^t}{8^t + 9} \, dt \] **Explanation:** This expression represents an indefinite integral of the function \(\frac{8^t}{8^t + 9}\) with respect to \(t\). Solving this integral involves finding a function whose derivative yields the integrand, and the solution will include an arbitrary constant of integration, denoted as \(C\).
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