Chapter 5: Q. 7 (page 417)
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
Short Answer
The three integrals will have form after a substitution of variables.
Chapter 5: Q. 7 (page 417)
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
The three integrals will have form after a substitution of variables.
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Get started for freeFind three integrals in Exercises 39–74 that can be solved by using a trigonometric substitution of the form .
Solve given integrals by using polynomial long division to rewrite the integrand. This is one way that you can sometimes avoid using trigonometric substitution; moreover, sometimes it works when trigonometric substitution does not apply.
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.
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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