Chapter 5: Q. 1TF (page 420)
Trigonometric integrals: The integrals that follow can be solved by using algebra to write the integrands in the form
Solve
Short Answer
The value of integral is
Chapter 5: Q. 1TF (page 420)
Trigonometric integrals: The integrals that follow can be solved by using algebra to write the integrands in the form
Solve
The value of integral is
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Get started for freeComplete the square for each quadratic in Exercises 28โ33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.
Find three integrals in Exercises 27โ70 for which a good strategy is to use integration by parts with
Find three integrals in Exercises 21โ70 that we can anti-differentiate immediately after algebraic simplification.
Solve given definite integral.
Consider the integral
(a) Solve this integral by using u-substitution with
(b) Solve the integral another way, using u-substitution with
(c) How must your two answers be related? Use algebra to prove this relationship.
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