Chapter 5: Q 20. (page 451)
Consider the integral
(a) Solve this integral by using integration by substitution with u = tan x.
(b) Solve this integral another way, by using integration by substitution with u = sec x.
Short Answer
(a)
(b)
Chapter 5: Q 20. (page 451)
Consider the integral
(a) Solve this integral by using integration by substitution with u = tan x.
(b) Solve this integral another way, by using integration by substitution with u = sec x.
(a)
(b)
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Solve the integral:
Find three integrals in Exercises 21–70 that we can anti-differentiate immediately after algebraic simplification.
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’t know how to solve given the techniques we know at this point.
Solve the integral
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