/*! 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 27. Solve each of the integral鈭玸ec... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 27. (page 452)

Solve each of the integral

鈭�sec4xdx

Short Answer

Expert verified

Answer islnsec4x+tan4x4+C

Step by step solution

01

Step 1. Given information

Integral is鈭�sec4x

02

Step 2. Explanation

Use the formula:鈭�secy=lnsecy+tany+C

Therefore,

鈭�sec4x=lnsec4x+tan4x4+C

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

For each integral in Exercises 5鈥�8, write down three integrals that will have that form after a substitution of variables.

鈭�sinudu

Solve given definite integral.

鈭�04鈥�x3x2+4dx

Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.

(a) An integral with which we could reasonably apply trigonometric substitution with x=tan鈦�u.

(b) An integral with which we could reasonably apply trigonometric substitution with x=4sec鈦�u.

(c) An integral with which we could reasonably apply trigonometric substitution with x鈭�2=3sin鈦�u.

Consider the integral 鈭�1x21鈭�x2dxfrom the reading at the beginning of the section.

(a) Use the inverse trigonometric substitution u=sin鈭�1鈦�xto solve this integral.

(b) Use the trigonometric substitution x=sin鈦�u to solve the integral.

(c) Compare and contrast the two methods used in parts (a) and (b).

Solve the integral: 鈭�xsinx2dx.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Pure Maths

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.