Chapter 5: Q. 48 (page 442)
Calculate each of the definite integrals in Exercises 47–52. Some integrals require partial fractions or polynomial long division, and some do not.
Short Answer
The value is
Chapter 5: Q. 48 (page 442)
Calculate each of the definite integrals in Exercises 47–52. Some integrals require partial fractions or polynomial long division, and some do not.
The value is
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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).
Solve the integral:
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
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.
Explain why, if , then . Your explanation should include a discussion of domains and absolute values.
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