Chapter 5: Q. 8 (page 477)
Why does it make sense that diverges when ? Consider how compares with in this case.
Short Answer
The integral gives the indefinite result for.
Chapter 5: Q. 8 (page 477)
Why does it make sense that diverges when ? Consider how compares with in this case.
The integral gives the indefinite result for.
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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.
Find three integrals in Exercises 27–70 for which a good strategy is to use integration by parts with and dv the remaining part.
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 given definite integral.
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