Chapter 5: Q. 62 (page 465)
Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
Short Answer
1
/*! 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}
Learning Materials
Features
Discover
Chapter 5: Q. 62 (page 465)
Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
1
All the tools & learning materials you need for study success - in one app.
Get started for free
Which of the integrals that follow would be good candidates for trigonometric substitution? If a trigonometric substitution is a good strategy, name the substitution. If another method is a better strategy, explain that method.
role="math" localid="1648759296940"
Solve the integral:
Complete the square for each quadratic in Exercises 28–33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
What do you think about this solution?
We value your feedback to improve our textbook solutions.