Chapter 5: Q. 45 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises 21–56.
Short Answer
The answer is.
Chapter 5: Q. 45 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises 21–56.
The answer is.
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Get started for freeFor each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
Find three integrals in Exercises 39–74 that can be solved without using trigonometric substitution.
Suppose you use polynomial long division to divide p(x) by q(x), and after doing your calculations you end up with the polynomial as the quotient above the top line, and the polynomial 3x − 1 at the bottom as the remainder. Then
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.
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