TYPEMATH

G08 // Cartesian Plane & Functions

Definite Integral, Riemann Sums (Left, Right, Midpoint, Upper/Lower) & Trapezoidal Rule

Step-by-step n-subdivision approximation of definite integrals over [a, b] via midpoint, lower, upper, left, right Riemann rectangles or trapezoids, exact signed area, and integral mean value.

Key formulas & geometric relations

∫_a^b f(x) dx = F(b) − F(a) · S_n = ∑_{k=1}^n f(x_k*) · Δx · f(c) = [1 / (b − a)] · ∫_a^b f(x) dx

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