Chapter 5: Q. 48 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises 21–56.
Short Answer
The value is.
Chapter 5: Q. 48 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises 21–56.
The value is.
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Get started for freeSolve 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.
Solve the integral
Find three integrals in Exercises 21–70 that we can anti-differentiate immediately after algebraic simplification.
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.
(a) An integral with which we could reasonably apply trigonometric substitution with .
(b) An integral with which we could reasonably apply trigonometric substitution with .
(c) An integral with which we could reasonably apply trigonometric substitution with .
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