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Chapter 5: 0 (page 416)

Problem Zero: Read the section and make your own summary of the material.

Short Answer

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Step by step solution

01

Introduction.

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02

Given Information.

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03

Explanation.

3

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Most popular questions from this chapter

Explain why it makes sense to try the trigonometric substitution $x = \sec u$ if an integrand involves the expression $\sqrt{x^{2} - 1}$

Show that if $x = \tan u$ , then $d x = \sec^{2} u d u$ , in the following two ways: (a) by using implicit differentiation, thinking of $u$ as a function of $x$ , and (b) by thinking of $x$ as a function of $u$ .

Solve the integral: $\int \frac{x^{2}}{e^{x}} d x$

Problem Zero: Read the section and make your own summary of the material.

Find three integrals in Exercises 21–70 in which the denominator of the integrand is a good choice for a substitution u(x).

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