Chapter 5: Q. 82 (page 465)
Solve given definite integral.
Chapter 5: Q. 82 (page 465)
Solve given definite integral.
All the tools & learning materials you need for study success - in one app.
Get started for freeShow by differentiating (and then using algebra) that and are both antiderivatives of . How can these two very different-looking functions be an antiderivative of the same function?
List some things which would suggest that a certain substitution u(x) could be a useful choice. What do you look for when choosing u(x)?
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.
Solve given definite integral.
What do you think about this solution?
We value your feedback to improve our textbook solutions.