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16. Use a left sum with n = 4 to approximate the area of the region.

16. Use a left sum with n = 4 to approximate the area of the region.

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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How would someone solve #16? 

For **Exercises 15-18**, use the region under the graph of \( f(x) = 2x^3 + 1 \), above the x-axis, and between the vertical lines \( x = 0 \) and \( x = 4 \). 15. Use a right sum with \( n = 4 \) to approximate the area of the region. 16. Use a left sum with \( n = 4 \) to approximate the area of the region. 17. Use a middle sum with \( n = 4 \) to approximate the area of the region. 18. Use the limit definition of the area to find the exact value of the area.
Transcribed Image Text:For **Exercises 15-18**, use the region under the graph of \( f(x) = 2x^3 + 1 \), above the x-axis, and between the vertical lines \( x = 0 \) and \( x = 4 \). 15. Use a right sum with \( n = 4 \) to approximate the area of the region. 16. Use a left sum with \( n = 4 \) to approximate the area of the region. 17. Use a middle sum with \( n = 4 \) to approximate the area of the region. 18. Use the limit definition of the area to find the exact value of the area.
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