Home/Calculus II/Indefinite integral and properties/LinearitySection 2.1LinearityFor constants α,β\alpha,\betaα,β:Copy LaTeX∫[αf(x)+βg(x)] dx=α∫f(x) dx+β∫g(x) dx.\int [\alpha f(x)+\beta g(x)]\,dx =\alpha\int f(x)\,dx+\beta\int g(x)\,dx.∫[αf(x)+βg(x)]dx=α∫f(x)dx+β∫g(x)dx.View detail →In particular,FormulaCopy LaTeX∫kf(x) dx=k∫f(x) dx.\int kf(x)\,dx=k\int f(x)\,dx.∫kf(x)dx=k∫f(x)dx.View detail →
For constants α,β\alpha,\betaα,β:Copy LaTeX∫[αf(x)+βg(x)] dx=α∫f(x) dx+β∫g(x) dx.\int [\alpha f(x)+\beta g(x)]\,dx =\alpha\int f(x)\,dx+\beta\int g(x)\,dx.∫[αf(x)+βg(x)]dx=α∫f(x)dx+β∫g(x)dx.View detail →