   Chapter 4.5, Problem 73E

Chapter
Section
Textbook Problem

# The following exercise are intended only for these who have already covered Chapter 6.Evaluate the integral. ∫ ( arctan   x ) 2 x 2 + 1 d x

To determine

To evaluate:

The given integral.

Explanation

1) Concept:

The substitution rule: If u=g(x) is a differentiable function whose range is I, and f is continuous on I, then f(gx)g'xdx=f(u)du. Here g(x) is substituted as u and then g(x)dx =du

2) Formula:

i.

cf(x)dx=cf(x)dx

ii.

xndx=xn+1n+1

3) Given:

arctanx2x2+1 dx

4) Calculation:

Consider the given integral, arctanx2x2+1

### 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

#### A sample of n = 9 scores has X = 108. What is the sample mean?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### In Exercises 1-6, simplify the expression. 2. 2a23ab9b22ab2+3b3

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In problems 23-26, find. 26.

Mathematical Applications for the Management, Life, and Social Sciences

#### For f (x) = sinh x, f (x) = a) cosh2 x b) sinh2 x c) tanh x d) sinh x

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

Study Guide for Stewart's Multivariable Calculus, 8th

#### Solve 578=234x.

Mathematics For Machine Technology 