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Chapter 4: Q. 43 (page 404)

Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
$\int \frac{1}{|x| \sqrt{x^{2} - 1}} d x = . . . . . . . . . . . . . . .$

Short Answer

Expert verified

The value of $\int \frac{1}{|x| \sqrt{x^{2} - 1}} d x = s e c^{- 1} x + C$ .

Step by step solution

Step 1. Given information .

Consider the given integral function $\int \frac{1}{|x| \sqrt{x^{2}} - 1} d x$ .
.

Step 2. Fill the blank for ∫1xx2-1dx .

The integral of the basic function $\int \frac{1}{|x| \sqrt{x^{2} - 1}} d x = s e c^{- 1} x + C$ .

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Most popular questions from this chapter

Use integration formulas to solve each integral in Exercises 21–62. You may have to use algebra, educated guess and-check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating .

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Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
$\int \frac{1}{|x| \sqrt{x^{2} - 1}} d x = . . . . . . . . . . . . . . .$

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Fill the blank for ∫1xx2-1dx .

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Most popular questions from this chapter

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Integral Formulas: Fill in the blanks to complete each of the following integration formulas.∫1xx2-1dx=...............

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Fill the blank for ∫1xx2-1dx .

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Pure Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
$\int \frac{1}{|x| \sqrt{x^{2} - 1}} d x = . . . . . . . . . . . . . . .$