Chapter 5: Q. 15 (page 464)
Explain why, if , then is if and is if . Your explanation should include a discussion of domains and absolute values.
Short Answer
Ans:
Chapter 5: Q. 15 (page 464)
Explain why, if , then is if and is if . Your explanation should include a discussion of domains and absolute values.
Ans:
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Get started for freeSuppose v(x) is a function of x. Explain why the integral
of dv is equal to v (up to a constant).
Give an example of an integral for which trigonometric substitution is possible but an easier method is available. Then give an example of an integral that we still don’t know how to solve given the techniques we know at this point.
Complete the square for each quadratic in Exercises 28–33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.
Suppose . Calculate and compare the values of the following definite integrals:
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Why don’t we ever have cause to use the trigonometric substitution ?
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