Chapter 5: Q. 40 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises.
Short Answer
The value of the integral is
Chapter 5: Q. 40 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises.
The value of the integral is
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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.
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
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.
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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