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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Get started for freeSolve the integral:.
Solve the integralthree ways:
(a) with the substitution followed by back substitution;
(b) with integration by parts, choosing localid="1648814744993"
(c) with the trigonometric substitution x = sec u.
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.
Consider the integral from the reading at the beginning of the section.
(a) Use the inverse trigonometric substitution to solve this integral.
(b) Use the trigonometric substitution to solve the integral.
(c) Compare and contrast the two methods used in parts (a) and (b).
Solve the integral:
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