Chapter 5: Q. 56 (page 465)
Solve the integral
Chapter 5: Q. 56 (page 465)
Solve the integral
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Get started for freeShow that if , then , in the following two ways: (a) by using implicit differentiation, thinking of as a function of , and (b) by thinking of as a function of .
Explain why, if , then . Your explanation should include a discussion of domains and absolute values.
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.
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
Solve the integral
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