Chapter 5: Q.2TB (page 477)
Evaluate the limit \(\lim_{x\rightarrow \infty}x^{-\frac{4}{3}}\).
\(0\)
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Solve each of the integrals in Exercises 39–74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
Solve the integral
Why don’t we ever have cause to use the trigonometric substitution ?
Consider the integral from the reading at the beginning of the section.
(a) Use the inverse trigonometric substitution to solve this integral.
(b) Use the trigonometric substitution to solve the integral.
(c) Compare and contrast the two methods used in parts (a) and (b).
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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