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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 5, Problem 6TYS
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Take this test as you would take a test in class. When you are done, check your work against the answers given in the back of the book.

In Exercises 1-6, find the indefinite integral.

∫ 3 4 x − 1 d x

To determine

To calculate: The solution of indefinite integral ∫3(4x−1)dx.

Explanation

Given Information:

The provided integral is ∫3(4x−1)dx.

Formula used:

Basic integration rules,

∫kf(x)dx=k∫f(x)dx

Where k is a constant.

The log rule of integrals,

∫1ududxdx=∫1udu=ln|u|+C

Here, u is function of x.

Calculation:

Consider the provided integral,

∫3(4x−1)dx

Let u=4x+1

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Sect-5.1 P-1CPSect-5.1 P-2CPSect-5.1 P-3CPSect-5.1 P-4CPSect-5.1 P-5CPSect-5.1 P-6CPSect-5.1 P-7CPSect-5.1 P-8CPSect-5.1 P-1SWUSect-5.1 P-2SWU
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