Chapter 5: Q. 37 (page 464)
Solvethe following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = 2 tan u.
Short Answer
Part (a) The solution of the integral is
Part (b) The solution of the integral is
Chapter 5: Q. 37 (page 464)
Solvethe following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = 2 tan u.
Part (a) The solution of the integral is
Part (b) The solution of the integral is
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Explain why using trigonometric substitution with often involves a triangle with side lengths a and x and hypotenuse of length
Suppose . Calculate and compare the values of the following definite integrals:
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Find three integrals in Exercises 39–74 that can be solved by using a trigonometric substitution of the form .
Find three integrals in Exercises 27–70 for which a good strategy is to apply integration by parts twice.
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