Evaluate the integral. (Use C for the constant of integration.) 64 + e* dx

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...
Question
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**Integral Evaluation Example**

_Problem Statement:_

Evaluate the integral. (Use \( C \) for the constant of integration.)

\[ \int 4 \sqrt{64 + e^x} \, dx \]

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This example presents an integral that involves a composite function, where the sub-integral expression includes a square root and an exponential function. The goal is to find the antiderivative of the given expression and ensure to account for the constant of integration \( C \).
Transcribed Image Text:--- **Integral Evaluation Example** _Problem Statement:_ Evaluate the integral. (Use \( C \) for the constant of integration.) \[ \int 4 \sqrt{64 + e^x} \, dx \] --- This example presents an integral that involves a composite function, where the sub-integral expression includes a square root and an exponential function. The goal is to find the antiderivative of the given expression and ensure to account for the constant of integration \( C \).
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