Q. 10 Use the definition of absolute v... [FREE SOLUTION]

Chapter 4: Q. 10 (page 385)

Use the definition of absolute value to explain why the absolute area ${鈭�}_{a}^{b} |f (x)| d x$ counts area positively regardless of whether it is above or below the x-axis.

Short Answer

Expert verified

The absolute area of ${鈭�}_{a}^{b} |f (x)| d x$ counts to be positive regardless of whether it is above or below the x-axis.

Step by step solution

Step 1. Given information.

Consider the given question,

${鈭�}_{a}^{b} |f (x)| d x$

Step 2. Find the absolute area.

Absolute value means to remove any negative sign in front of a number making the number positive.

So, the expression $|f (x)|$ counts positive values.

Therefore, the absolute area of ${鈭�}_{a}^{b} |f (x)| d x$ counts to be positive regardless of whether it is above or below thex-axis.

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91影视

Use the definition of absolute value to explain why the absolute area ${鈭�}_{a}^{b} |f (x)| d x$ counts area positively regardless of whether it is above or below the x-axis.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the absolute area.

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91影视

Use the definition of absolute value to explain why the absolute area鈭�abfxdx counts area positively regardless of whether it is above or below the x-axis.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the absolute area.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Mechanics Maths

Calculus

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Statistics

Study anywhere. Anytime. Across all devices.

Use the definition of absolute value to explain why the absolute area ${鈭�}_{a}^{b} |f (x)| d x$ counts area positively regardless of whether it is above or below the x-axis.