Chapter 5: Q 11. (page 495)
Fill in the blanks to complete each of the following integration formulas.
Short Answer
The obtained result is.
Chapter 5: Q 11. (page 495)
Fill in the blanks to complete each of the following integration formulas.
The obtained result 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:
Solve the integralthree ways:
(a) with the substitution followed by back substitution;
(b) with integration by parts, choosing localid="1648814744993"
(c) with the trigonometric substitution x = sec u.
Find three integrals in Exercises 27–70 for which a good strategy is to apply integration by parts twice.
Why doesn’t the definite integral make sense? (Hint: Think about domains.)
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