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Riemann Sums
Approximating accumulation with rectangles · BC Calculus · greeting
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f(x) on [1, 5]
4 equal subintervals
Δx = 1
▶
Left / Right / Mid
Σ f(xᵢ*) Δx
→ Riemann sum
▶
Finer partition → closer to the integral (usually)
Owl:
Which of those three sketches would you trust more for a first estimate — and why might "more rectangles" still not be exact?
You:
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