Home/Calculus II/Numerical integration/Left, right, and midpoint sumsSection 11.1Left, right, and midpoint sumsFormulavizCopy LaTeXLn=Δx∑i=0n−1f(xi)L_n=\Delta x\sum_{i=0}^{n-1}f(x_i)Ln=Δxi=0∑n−1f(xi)View detail →FormulaCopy LaTeXRn=Δx∑i=1nf(xi)R_n=\Delta x\sum_{i=1}^{n}f(x_i)Rn=Δxi=1∑nf(xi)View detail →FormulaCopy LaTeXMn=Δx∑i=1nf (xi−1+xi2)M_n=\Delta x\sum_{i=1}^{n} f\!\left(\frac{x_{i-1}+x_i}{2}\right)Mn=Δxi=1∑nf(2xi−1+xi)View detail →
FormulavizCopy LaTeXLn=Δx∑i=0n−1f(xi)L_n=\Delta x\sum_{i=0}^{n-1}f(x_i)Ln=Δxi=0∑n−1f(xi)View detail →
FormulaCopy LaTeXMn=Δx∑i=1nf (xi−1+xi2)M_n=\Delta x\sum_{i=1}^{n} f\!\left(\frac{x_{i-1}+x_i}{2}\right)Mn=Δxi=1∑nf(2xi−1+xi)View detail →