Chapter 5: Q.2TB (page 477)
Evaluate the limit \(\lim_{x\rightarrow \infty}x^{-\frac{4}{3}}\).
\(0\)
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Explain why and are essentially the same integral after a change of variables.
Find three integrals in Exercises 27–70 for which a good strategy is to use integration by parts with and dv the remaining part.
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.
Solve the following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = 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.
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