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t) Find the area under y = -x² + 1x + 12 and above the x-axis using Riemann sums. ·b S² (-2²² + a and b = (a) This area is equal to where a = −x² + 1x + 12) dx

t) Find the area under y = -x² + 1x + 12 and above the x-axis using Riemann sums. ·b S² (-2²² + a and b = (a) This area is equal to where a = −x² + 1x + 12) 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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t) Find the area under y = -x² + 1x + 12 and above the x-axis using Riemann sums. (a) This area is equal to where a = (b) The Riemann sum for this integral is ΣR=11+ Sn ·b • (-x² + 1x +12) dx a and b = = Σk=1k+ (c) As a function of n Sn = (d) The area is then A = Σ_1 k2.
Transcribed Image Text:t) Find the area under y = -x² + 1x + 12 and above the x-axis using Riemann sums. (a) This area is equal to where a = (b) The Riemann sum for this integral is ΣR=11+ Sn ·b • (-x² + 1x +12) dx a and b = = Σk=1k+ (c) As a function of n Sn = (d) The area is then A = Σ_1 k2.
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