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Chapter 5: Q 9. (page 451)
Describe strategy for solving the type of integral given.
is even.
Write
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Solve the integral:
Consider the integral .
(a) Solve this integral by using u-substitution.
(b) Solve the integral another way, using algebra to multiply out the integrand first.
(c) How must your two answers be related? Use algebra to prove this relationship.
Find three integrals in Exercises 21–70 that we can anti-differentiate immediately after algebraic simplification.
Explain how to use long division to write the improper fraction as the sum of an integer and a proper fraction.
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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