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Formula:78

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Digital Library of Mathematical Functions ID 1.4.E28

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


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
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This page was last edited on 28 January 2024, at 10:02.
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