   Chapter 4.5, Problem 41E

Chapter
Section
Textbook Problem

# Evaluate the definite integral. ∫ − π / 4 π / 4 ( x 3 + x 4 tan x ) d x

To determine

To evaluate:

The given definite integral -π/4π/4(x3+x4tanx)dx.

Explanation

1) Concept:

i) Integration of symmetric functions:

Suppose f is continuous on [-a,a]

a) If f is even f-x=fx then -aafxdx=20afxdx

b) If f is odd f-x=-fx then -aafxdx=0

ii) tan-x=-tanx, tanx is odd function.

2) Given:

-π/4π/4(x3+x4tanx)dx

3) Calculation:

The given integral is -π/4π/4(x3+x4tanx)dx Here,f(x)=(x3+x4tanx)

Check if given function is even or odd

### 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

#### Solve the equations in Exercises 126. (x+1)(x+2)+(x+1)(x+3)=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Prove that limx0+lnx=

Single Variable Calculus: Early Transcendentals, Volume I

#### Solve each equation: a. 12x2 9x 3 = 0 b. 3x2 5x + 1 = 0

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

#### In Problems 1-20, evaluate the improper integrals that converge.

Mathematical Applications for the Management, Life, and Social Sciences

#### f(x) = (x2 3)2 has points of inflection at x = _____. a) 0,3,3 b) 1, 1 c) 0, 1, 1 d) 3,3

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

#### What is a ceiling effect, and how can it be a problem?

Research Methods for the Behavioral Sciences (MindTap Course List) 