Chapter 5: Q. 33 (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. 33 (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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Solve given integrals by using polynomial long division to rewrite the integrand. This is one way that you can sometimes avoid using trigonometric substitution; moreover, sometimes it works when trigonometric substitution does not apply.
Give 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:
Solve given definite integral.
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