Chapter 5: Q 19. (page 495)
Defining improper integrals: Fill in the blanks, using limits and proper definite integrals to express each of the following types of improper integrals.
If f is a continuous on , then
Chapter 5: Q 19. (page 495)
Defining improper integrals: Fill in the blanks, using limits and proper definite integrals to express each of the following types of improper integrals.
If f is a continuous on , then
All the tools & learning materials you need for study success - in one app.
Get started for freeFor each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
Consider the integral from the reading at the beginning of the section.
(a) Use the inverse trigonometric substitution to solve this integral.
(b) Use the trigonometric substitution to solve the integral.
(c) Compare and contrast the two methods used in parts (a) and (b).
Solve the integralthree ways:
(a) with the substitution followed by back substitution;
(b) with integration by parts, choosing localid="1648814744993"
(c) with the trigonometric substitution x = sec u.
Solve given definite integrals.
Find three integrals in Exercises 39–74 that can be solved without using trigonometric substitution.
What do you think about this solution?
We value your feedback to improve our textbook solutions.