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Mathematics Calculus Wolfram Language Numerical Computation

Integrate the following expression?

Maha haroon

Posted 6 years ago

I have done numerical integration. But the code does not produce an answer. F=(1+(-1+(1-Exp[-?y])^-?)^?)^-2(? ? ?Exp[-?y]* (1-Exp[-?y])^(-1-?)(-1+(1-Exp[-?y])^-?)^(-1+?)); Integrate[Exp[ty]F,{y,0, ?}] Attachments:* 2.nb

POSTED BY: Maha haroon

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Mariusz Iwaniuk

Mariusz Iwaniuk, engineer, math hobbyist.

Posted 6 years ago

Exist : func[1, -2, -2, -2] (* -0.0950309 *)

POSTED BY: Mariusz Iwaniuk

Maha haroon

Posted 6 years ago

POSTED BY: Maha haroon

Mariusz Iwaniuk

Mariusz Iwaniuk, engineer, math hobbyist.

Posted 6 years ago

func[?_?NumericQ, ?_?NumericQ, ?_?NumericQ, t_?NumericQ] := NIntegrate[Exp[ty]((E^(-y ?) (1 - E^(-y ?))^(-1 - ?) (-1 + (1 - E^(-y ?))^-?)^(-1 + ?) ? ? ?)/(1 + (-1 + (1 - E^(-y ?))^-?)^?)^2), {y, 0, ?}, Method -> "AdaptiveQuasiMonteCarlo", Exclusions -> {(1 + (-1 + (1 - E^(-y ?))^-?)^?)^2 == 0}] func[2, 2, 1, 1] (* 2.66667 ) func[1/2, 2, 1/3, 1]( Probably integral is divergent !!! ) ( Error-> Overflow, Indeterminate, or Infinity for all sampling points *) Regards MI.

 func[?_?NumericQ, ?_?NumericQ, ?_?NumericQ, t_?NumericQ] := 
 NIntegrate[Exp[t*y]*((E^(-y ?) (1 - E^(-y ?))^(-1 - ?) (-1 + (1 - E^(-y ?))^-?)^(-1 + ?) ? ? ?)/(1 + (-1 + 
 (1 - E^(-y ?))^-?)^?)^2), {y, 0, ?}, Method -> "AdaptiveQuasiMonteCarlo", 
 Exclusions -> {(1 + (-1 + (1 - E^(-y ?))^-?)^?)^2 == 0}]

 func[2, 2, 1, 1]
 (* 2.66667 *)

 func[1/2, 2, 1/3, 1](* Probably integral is divergent !!! *)
 (* Error-> Overflow, Indeterminate, or Infinity for all sampling points *)

Regards MI.

POSTED BY: Mariusz Iwaniuk

Maha haroon

Posted 6 years ago

Dear Sir Why phi approaches to 1.............what about if phi>0?? Thank you Mariusz Iwaniuk, I also try NIntegrate command but it doesnot produce any result . I want mathematica must solve such complex integration .