   Chapter 7.P, Problem 14P

Chapter
Section
Textbook Problem
1 views

# Evaluate ∫ tan x   d x .

To determine

To Find:tanxdx.

Explanation

Calculations: Given tanxdx

tanxdx=sec2xtanxsec2xdx=sec2xtanx(1+tan2x)dx

Let u2=tanx,then 2udu=sec2xdx

Thus

tanxdx=2u21+u4du=2u2+1u2du

We can write

u2+1u2=(u+1u)22oru2+1u2=(u1u)2+2

tanxdx=2u2+1u2du=(11u2+1+1u2)u2+1u2du=11u2u2+1u2du+1+1u2u2+1u2du=11u2(u+1u)22du+1+1u2(u1u)2+2du

Let u+

### 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

#### In Exercises 516, evaluate the given quantity. log42

Finite Mathematics and Applied Calculus (MindTap Course List)

#### 6. Compute .

Mathematical Applications for the Management, Life, and Social Sciences

#### Simplify: 3656

Elementary Technical Mathematics

#### What graph has f′(2) > 0 and f″(2) < 0?

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