Calculus · SEC2_GYM

Integral as accumulation and area

Question 1/8+12 XP
. What is ?
Riemann sumf(x) = 4, n = 8
0123451234xf(x)Δx = 0.63area
difference 0
curve fexact area = 208 rectangles (right edge) = 20
Right-endpoint rule: each of the 8 rectangles is as tall as the curve at the right edge of its strip (width Δx = 0.63). Here the rectangles already match the region: R₈ = 20. More strips shrink that seam to nothing — that passage to the limit is the integral.