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Formula:68

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Digital Library of Mathematical Functions ID 1.4.E19

∫ a b ( c ⁢ f ⁢ ( x ) + d ⁢ g ⁢ ( x ) ) ⁢ d x = c ⁢ ∫ a b f ⁢ ( x ) ⁢ d x + d ⁢ ∫ a b g ⁢ ( x ) ⁢ d x , subscript superscript 𝑏 𝑎 𝑐 𝑓 𝑥 𝑑 𝑔 𝑥 𝑥 𝑐 subscript superscript 𝑏 𝑎 𝑓 𝑥 𝑥 𝑑 subscript superscript 𝑏 𝑎 𝑔 𝑥 𝑥 {\displaystyle{\displaystyle\int^{b}_{a}(cf(x)+dg(x))\mathrm{d}x=c\int^{b}_{a}% f(x)\mathrm{d}x+d\int^{b}_{a}g(x)\mathrm{d}x,}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
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