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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

Introduction.

Given Information.

Explanation.

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Most popular questions from this chapter

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

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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.

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Explain why, if $x = a \tan u$ , then $\sqrt{x^{2} + a^{2}} = a s e c u$ . Your explanation should include a discussion of domains and absolute values.

Solve the integral $\int x^{3} \sqrt{x^{2} - 1} d x$ three ways:

(a) with the substitution $u = x^{2} - 1,$ followed by back substitution;

(b) with integration by parts, choosing localid="1648814744993" $u = x^{2} and d v = x \sqrt{x^{2} - 1} d x;$

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

Short Answer

Step by step solution

Introduction.

Given Information.

Explanation.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

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