Chapter 5: Q 2. (page 495)
Use Pythagorean identities to rewrite each of the following trigonometric expressions.
Short Answer
The obtained result is.
Chapter 5: Q 2. (page 495)
Use Pythagorean identities to rewrite each of the following trigonometric expressions.
The obtained result is.
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Get started for freeSolvethe following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = 2 tan u.
Which of the integrals that follow would be good candidates for trigonometric substitution? If a trigonometric substitution is a good strategy, name the substitution. If another method is a better strategy, explain that method.
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Find three integrals in Exercises 27โ70 for which a good strategy is to use integration by parts with and dv the remaining part.
Show by differentiating (and then using algebra) that and are both antiderivatives of . How can these two very different-looking functions be an antiderivative of the same function?
Find three integrals in Exercises 21โ70 in which the denominator of the integrand is a good choice for a substitution u(x).
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