Chapter 5: Q 28. (page 429)
Solve the integral:
Short Answer
The required answer is.
Chapter 5: Q 28. (page 429)
Solve the integral:
The required answer is.
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What is a rational function? What does it mean for a rational function to be proper? Improper?
Solvethe following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = 2 tan u.
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 integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
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