Subjects/Calculus II/Properties/Formula3.2. PropertiesFormulaIn 3.2. PropertiesFormulaCopy LaTeX∫aaf(x)dx=0VariablesxVariable independiente (variable de integración)aConstant real (a menudo a>0)fFunción integrandodxDiferencial respecto de xRelated formulasRelatedFor a uniform partition, Δx=(b−a)/n:∫abf(x)dx=n→∞limi=1∑nf(xi∗)Δx.Open formulaOpen in sectionRelatedFormula∫abf(x)dx=−∫baf(x)dxOpen formulaOpen in sectionRelatedFormula∫abf(x)dx+∫bcf(x)dx=∫acf(x)dxOpen formulaOpen in sectionRelatedFormula∫ab[αf(x)+βg(x)]dx=α∫abf(x)dx+β∫abg(x)dxOpen formulaOpen in sectionRelatedFormula∫abf(x)dx≥0.Open formulaOpen in sectionRelatedFormula∫abf(x)dx≤∫abg(x)dx.Open formulaOpen in section