Subjects/Calculus II/Definite integral and Fundamental Theorem of Calculus/Riemann sumsSection 3.1Riemann sumsFor a partition a=x0<x1<⋯<xn=b, with Δxi=xi−xi−1 and sample points xi∗,FormulaCopy LaTeX∫abf(x)dx=∥P∥→0limi=1∑nf(xi∗)Δxi,View detail →if the limit exists.For a uniform partition, Δx=(b−a)/n:Copy LaTeX∫abf(x)dx=n→∞limi=1∑nf(xi∗)Δx.View detail →