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Formula:80

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Digital Library of Mathematical Functions ID 1.4.E30

∫ a b f ⁢ ( x ) ⁢ ϕ ⁢ ( x ) ⁢ d x = f ⁢ ( a ) ⁢ ∫ a c ϕ ⁢ ( x ) ⁢ d x + f ⁢ ( b ) ⁢ ∫ c b ϕ ⁢ ( x ) ⁢ d x . subscript superscript 𝑏 𝑎 𝑓 𝑥 italic-ϕ 𝑥 𝑥 𝑓 𝑎 subscript superscript 𝑐 𝑎 italic-ϕ 𝑥 𝑥 𝑓 𝑏 subscript superscript 𝑏 𝑐 italic-ϕ 𝑥 𝑥 {\displaystyle{\displaystyle\int^{b}_{a}f(x)\phi(x)\mathrm{d}x=f(a)\int^{c}_{a% }\phi(x)\mathrm{d}x+f(b)\int^{b}_{c}\phi(x)\mathrm{d}x.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}} : function
  •  Edit this on Wikidata

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