Calculate the definite integral by referring to the figure with the indicated areas. f(x)dx Ab Cd Area A = 1.307 Area C= 5.214 Area B = 2.635 Area D = 1.821 ..... C f(x)dx= a

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Instructions: Calculate the Definite Integral Using Indicated Areas**

To find the definite integral of \( f(x) \) from \( a \) to \( c \), refer to the diagram with the indicated areas. The areas between the curve and the x-axis are labeled as follows:

- **Area A:** 1.307
- **Area B:** 2.635
- **Area C:** 5.214
- **Area D:** 1.821

**Diagram Explanation:**

On the right, there is a graph showing the curve \( f(x) \). The x-axis is divided into the intervals indicated by:

- \( a \) to \( b \)
- \( b \) to \( c \)
- \( c \) to \( d \)

Each segment is associated with a specific area:

- **Area A** is below the x-axis (red).
- **Area B** is above the x-axis (yellow).
- **Area C** is above the x-axis (blue).
- **Area D** is below the x-axis (green).

**Input Box:**

Below the instruction, there's a section for input, where you can calculate and enter the value of the definite integral \( \int_a^c f(x)\,dx \) using the given areas.

**Toolbar Options:**

- **Textbook**: Access related textbook materials.
- **Ask my instructor**: Option to reach out for additional help or clarification.
Transcribed Image Text:**Instructions: Calculate the Definite Integral Using Indicated Areas** To find the definite integral of \( f(x) \) from \( a \) to \( c \), refer to the diagram with the indicated areas. The areas between the curve and the x-axis are labeled as follows: - **Area A:** 1.307 - **Area B:** 2.635 - **Area C:** 5.214 - **Area D:** 1.821 **Diagram Explanation:** On the right, there is a graph showing the curve \( f(x) \). The x-axis is divided into the intervals indicated by: - \( a \) to \( b \) - \( b \) to \( c \) - \( c \) to \( d \) Each segment is associated with a specific area: - **Area A** is below the x-axis (red). - **Area B** is above the x-axis (yellow). - **Area C** is above the x-axis (blue). - **Area D** is below the x-axis (green). **Input Box:** Below the instruction, there's a section for input, where you can calculate and enter the value of the definite integral \( \int_a^c f(x)\,dx \) using the given areas. **Toolbar Options:** - **Textbook**: Access related textbook materials. - **Ask my instructor**: Option to reach out for additional help or clarification.
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