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Chapter 5: Q 8. (page 451)
Describe strategy for solving the types of integral given in
exercise is odd.
Write
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Solve the following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = tan u.
Solve the integral
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?
For each integral in Exercises 5鈥�8, write down three integrals that will have that form after a substitution of variables.
Give an example of an integral for which trigonometric substitution is possible but an easier method is available. Then give an example of an integral that we still don鈥檛 know how to solve given the techniques we know at this point.
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