What would one do to obtain solution? 418. Evaluate the indefinite integral /dx.

Name: What would one do to obtain solution? 418. Evaluate the indefinite int
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Description: What would one do to obtain solution? 418. Evaluate the indefinite integral /dx.

Given integral to find ∫4x3dx To integrate this first take the constant out 4∫1x3dx Applying the…

Answered: 4 18. Evaluate the indefinite integral…

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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What would one do to obtain solution?

4
18. Evaluate the indefinite integral /
dx.

Expert Solution

Step 1

Given integral to find

$\int \frac{4}{\sqrt[3]{x}} d x$

To integrate this first take the constant out

$4 \int \frac{1}{\sqrt[3]{x}} d x$

Applying the radical rule

$\sqrt[n]{a} = {(a)}^{\frac{1}{n}} 4 \int \frac{1}{\sqrt[3]{x}} d x = 4 \int \frac{1}{{(x)}^{\frac{1}{3}}} d x$

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