Home/Calculus II/Linearity/Formula2.1. LinearityFormulaIn 2.1. LinearityFormulaCopy LaTeX∫kf(x) dx=k∫f(x) dx.\int kf(x)\,dx=k\int f(x)\,dx.∫kf(x)dx=k∫f(x)dx.Tagsantiderivativeintegral indefiniteintegral indefinite linearitypropertyVariablesxxxVariable independiente (variable de integración)kkkConstante real distinta de cero (en muchos contextos)fffFunción integrandodxdxdxDiferencial respecto de xxxFound an error? Contact us.Related formulasRelatedFor constants α,β\alpha,\betaα,β:∫[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.Open formulaOpen in sectionRelatedFormula∫xn dx=xn+1n+1+C,n≠−1\int x^n\,dx=\frac{x^{n+1}}{n+1}+C,\qquad n\neq-1∫xndx=n+1xn+1+C,n=−1Open formulaOpen in section