Chapter 5: Q 36. (page 429)
Solve the integral:
Short Answer
The required answer is .
Chapter 5: Q 36. (page 429)
Solve the integral:
The required answer is .
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Get started for freeSolve 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.
Explain why, if , then is if and is if . Your explanation should include a discussion of domains and absolute values.
Solve the integral:.
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
Consider the integral .
(a) Solve this integral by using u-substitution with and .
(b) Solve the integral another way, using u-substitution with and .
(c) How must your two answers be related? Use algebra to prove this relationship.
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