   Chapter 6.1, Problem 24E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Finding an Indefinite Integral In Exercises 17-38, find the indefinite integral. (Hint: Integration by parts is not required for all the integrals.) ∫ ( 2 x − 1 ) e 7 x d x

To determine

To calculate: The value of indefinite integral (2x1)e7xdx.

Explanation

Given Information:

The provided indefinite integral is (2x1)e7xdx.

Formula used:

Integration Property:

eaxdx=eaxa+C

Calculation:

Consider the indefinite integral (2x1)e7xdx

Here,

dv=e7xdx and u=2x1

First find v,

dv=e7xdxdv=e7xdx

On further solving,

v=e7x7 …...…... (1)

Now find du,

u=(2x1)

Differentiate both side with respect x,

dudx=d(2x1)dxdudx=2

And,

du=2dx …...…... (2)

Apply integration by parts formula and substitute equation (1) and (2) in udv=uvvdu,

(2x1)e7xdx=17(2x1)e7x27e7xdx

Apply the formula eaxdx=<

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Evaluate the expression sin Exercises 116. (42)2

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In problems 45-62, perform the indicated operations and simplify. 59.

Mathematical Applications for the Management, Life, and Social Sciences

#### Prove that limxcb=b, where b and c are real numbers.

Calculus: Early Transcendental Functions (MindTap Course List)

#### (y)2 + 6xy 2y + 7x = 0 is a differential equation of order ______. a) 1 b) 2 c) 3 d) 4

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 