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1. Use the midpoint rule with n = 6 to estimate the value of the integral x³ + x)dx.

1. Use the midpoint rule with n = 6 to estimate the value of the integral x³ + x)dx.

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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Solve the following problems on bond papers (maximum 3 bond papers) with ½ inch margin on all sides. Show your complete solution. Solutions should be handwritten. 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x3 + x)dx. 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x² b. The area above the x – axis and below y = 4x – x2 c. The area between y = sin x and the x – axis for 0 < x < n 3. Compute f(x)dx f(x) = { 2x if x <1 4 if x >1 4. Find the integral of your answer in problems 2a and 2b.
Transcribed Image Text:Solve the following problems on bond papers (maximum 3 bond papers) with ½ inch margin on all sides. Show your complete solution. Solutions should be handwritten. 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x3 + x)dx. 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x² b. The area above the x – axis and below y = 4x – x2 c. The area between y = sin x and the x – axis for 0 < x < n 3. Compute f(x)dx f(x) = { 2x if x <1 4 if x >1 4. Find the integral of your answer in problems 2a and 2b.
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