Chapter 5: Q. 27 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises.
Short Answer
The improper integral on diverges.
Chapter 5: Q. 27 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises.
The improper integral on diverges.
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Get started for freeGive an example of an integral for which trigonometric substitution is possible but an easier method is available. Then give an example of an integral that we still don’t know how to solve given the techniques we know at this point.
Solve the integral:
Explain why, if , then is if and is if . Your explanation should include a discussion of domains and absolute values.
Solve the following two ways:
(a) with the substitution
(b) by completing the square and then applying the trigonometric substitution x + 2 = 2 sec u.
Solve the integral:.
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