/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 7. Find three integrals in Exercise... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 7. (page 451)

Find three integrals in Exercises 21鈥�66 that can be solved by the application of double-angle formulas.

Short Answer

Expert verified

鈭�tan2xdx鈭�sec4xdx鈭�sec32xdx

Step by step solution

01

Step 1. Given information

Double-angle formulas are to be used.

02

Step 2. Explanation

Double angle formulas are as follows:

sin2x=2sinxcosxcos2x=2cos2x-1tan2x=2tanx1-tan2x

Following integrals can be solved by the application of double-angle formulas:

鈭�tan2xdx鈭�sec4xdx鈭�sec32xdx

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve the integral

鈭�4-xx-2dx

Find three integrals in Exercises 27鈥�70 for which either algebra or u-substitution is a better strategy than integration by parts.

Explain why, if x=atanu, then x2+a2=asecu. Your explanation should include a discussion of domains and absolute values.

Show by differentiating (and then using algebra) that 鈭�cot鈦�sin鈭�1鈦�xand 鈭�1鈭�x2xare both antiderivatives of 1x21鈭�x2. How can these two very different-looking functions be an antiderivative of the same function?

Solve the integral:鈭�x2e3xdx.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.