EL-Integral is extended of Lebesgue integral, 1 k b EL f d L f d . Lebesgue integral is defined with early arrange measure theory that famous with Lebesgue measure. A function f :ï›a,bïÂÂ is said EL-integrable on ï›a,bï , if there exist series interval that no piled up ï» ï½ k I in ï›a,bï so that ï› , ïÂʕ۩ 0 k ï a b I  ,   k f L I for every k and 1 IkA L f dï finite. Value A is called value of EL Integral function f on ï›a,bï . Extended of Lebesgue integral (EL-Integral) is notated by :  kbE a k I EL f dï f dï L f dïÂÂ     .
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