Subjects/Calculus II/Definite integral and Fundamental Theorem of Calculus/PropertiesSection 3.2PropertiesFormulaCopy LaTeX∫aaf(x)dx=0View detail →FormulaCopy LaTeX∫abf(x)dx=−∫baf(x)dxView detail →FormulaCopy LaTeX∫abf(x)dx+∫bcf(x)dx=∫acf(x)dxView detail →FormulaCopy LaTeX∫ab[αf(x)+βg(x)]dx=α∫abf(x)dx+β∫abg(x)dxView detail →If f(x)≥0 on [a,b], thenFormulaCopy LaTeX∫abf(x)dx≥0.View detail →If f(x)≤g(x) on [a,b], thenFormulaCopy LaTeX∫abf(x)dx≤∫abg(x)dx.View detail →