Chapter 5: Q. 12 (page 417)
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
Short Answer
The differential du in terms of the differential dx is .
Chapter 5: Q. 12 (page 417)
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
The differential du in terms of the differential dx is .
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Get started for freeSolve 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.
Explain how to know when to use the trigonometric substitutions , Describe the trigonometric identity and the triangle that will be needed in each case. What are the possible values for and in each case?
Solve the integral:
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.
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.
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