Chapter 5: Q 19. (page 495)
Defining improper integrals: Fill in the blanks, using limits and proper definite integrals to express each of the following types of improper integrals.
If f is a continuous on , then
Chapter 5: Q 19. (page 495)
Defining improper integrals: Fill in the blanks, using limits and proper definite integrals to express each of the following types of improper integrals.
If f is a continuous on , then
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Suppose v(x) is a function of x. Explain why the integral
of dv is equal to v (up to a constant).
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
Solve the integral:
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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