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Let I = ₂ f(x) dx, where fis the function whose graph is show. Use the graph and Trapezoid rule with n=5 to approximate I = ₂ f(x) dx. (Round your answer to two decimal places.) 2 0 2 3

Let I = ₂ f(x) dx, where fis the function whose graph is show. Use the graph and Trapezoid rule with n=5 to approximate I = ₂ f(x) dx. (Round your answer to two decimal places.) 2 0 2 3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question 2** Let \( I = \int_{2}^{4} f(x) \, dx \), where \( f \) is the function whose graph is shown. Use the graph and Trapezoid rule with \( n = 5 \) to approximate \( I = \int_{2}^{4} f(x) \, dx \). (Round your answer to two decimal places.) --- **Graph Explanation:** The graph shows a curve that starts at point \( (2, 1.5) \) and decreases toward point \( (4, 0.5) \). The x-axis ranges from 0 to 4, while the y-axis ranges from 0 to 2. The curve depicts a decreasing function between \( x = 2 \) and \( x = 4 \). The task involves using the Trapezoid Rule to approximate the integral of the function from \( x = 2 \) to \( x = 4 \) using 5 equal subintervals.
Transcribed Image Text:**Question 2** Let \( I = \int_{2}^{4} f(x) \, dx \), where \( f \) is the function whose graph is shown. Use the graph and Trapezoid rule with \( n = 5 \) to approximate \( I = \int_{2}^{4} f(x) \, dx \). (Round your answer to two decimal places.) --- **Graph Explanation:** The graph shows a curve that starts at point \( (2, 1.5) \) and decreases toward point \( (4, 0.5) \). The x-axis ranges from 0 to 4, while the y-axis ranges from 0 to 2. The curve depicts a decreasing function between \( x = 2 \) and \( x = 4 \). The task involves using the Trapezoid Rule to approximate the integral of the function from \( x = 2 \) to \( x = 4 \) using 5 equal subintervals.
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