Find the formula for the Riemann sum obtained by dividing the interval [ — 1, 0] into n equal subintervals and using the right endpoint for each ck. Then take the limit of these sums as n → ∞ to calculate the area under the curve ƒ(x) = 14x² + 14x³ over [ – 1, 0]. The area under the curve over [- 1, 0] is square units.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the formula for the Riemann sum obtained by dividing the interval [ — 1, 0] into n equal
subintervals and using the right endpoint for each câ. Then take the limit of these sums as ʼn → ∞
to calculate the area under the curve f(x) = 14x² + 14x³ over [ — 1, 0].
The area under the curve over [ – 1, 0] is
square units.
Transcribed Image Text:Find the formula for the Riemann sum obtained by dividing the interval [ — 1, 0] into n equal subintervals and using the right endpoint for each câ. Then take the limit of these sums as ʼn → ∞ to calculate the area under the curve f(x) = 14x² + 14x³ over [ — 1, 0]. The area under the curve over [ – 1, 0] is square units.
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