Chapter 5: Q. 12 (page 478)
What, if anything, does the divergence of and the comparison test tell you about the convergence or divergence of and why?
Short Answer
The convergence of and comparison test are useful to tell the convergence of .
Chapter 5: Q. 12 (page 478)
What, if anything, does the divergence of and the comparison test tell you about the convergence or divergence of and why?
The convergence of and comparison test are useful to tell the convergence of .
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Get started for freeExplain why, if , then . Your explanation should include a discussion of domains and absolute values.
Solve each of the integrals in Exercises 39–74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
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.
Why is it okay to use a triangle without thinking about the unit circle when simplifying expressions that result from a trigonometric substitution withor ? Why do we need to think about the unit circle after trigonometric substitution with ?
Solve the integral
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