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Eng Giap Goh

Integration on complicated equation exceeds cloud time limit

Eng Giap Goh, Universiti Malaysia Terengganu

Posted 9 years ago

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Dear all, Can anyone help me to solve the following integration equation. I encountered the following difficulty: "Cloud::timelimit: This computation has exceeded the time limit for your plan" The equation which i am trying to solve is as following: partWm = ( alpha * ( s - r ) / ( L - r ) - alpha ) ^ ( 1 / beta ) Wm = ( -1 / 100 ) * e ^ ( partWm ) dWmdL = D [ Wm , L ] K = ( Ks * A ) / ( A + ( - 100 * Wm ) ^ B ) y = ( L - n ) * K * dWmdL ( 2 / ( o - n ) ^ 2 ) * integrate [ y , { L , f1 , f2 } ] Can someone please help? Thanks, Goh

Dear all,

Can anyone help me to solve the following integration equation. I encountered the following difficulty:

    "Cloud::timelimit: This computation has exceeded the time limit for your plan"

The equation which i am trying to solve is as following:

partWm = ( alpha * ( s - r ) / ( L - r ) - alpha ) ^ ( 1 / beta )

Wm = ( -1 / 100 ) * e ^ ( partWm )

dWmdL = D [ Wm , L ]

K = ( Ks * A ) / ( A + ( - 100 * Wm ) ^ B )

y = ( L - n ) * K * dWmdL

( 2 / ( o - n ) ^ 2 ) * integrate [ y , { L , f1 , f2 } ]

Can someone please help?

Thanks, Goh

POSTED BY: Eng Giap Goh

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suvadip mandal

suvadip mandal, Indian Institute of Science Education and Research, Kolkata

Posted 9 years ago

Hi, I have tried to solve the integral. I have got the following. y = (L - n) (KsA)/(A + (-100 (-1/100) Exp[(a (s - r)/(L - r) - a)^(1/b)])^B) D[(-1/100) Exp[(a (s - r)/(L - r) - a)^(1/b)], L] Integrate[y, f1, f2] (aAE^(-a + (a(-r + s))/(L - r))^(1/b)f1f2Ks(L - n)(-r + s)(-a + (a(-r + s))/(L - r))^(-1 + 1/b))/(100b(A + (E^(-a + (a(-r + s))/(L - r))^(1/b))^B)(L - r)^2) a=alpha, b=beta Sincerely, Suvadip

Hi, I have tried to solve the integral. I have got the following.

y = (L - n) (Ks*A)/(A + (-100 (-1/100) Exp[(a (s - r)/(L - r) - a)^(1/b)])^B) D[(-1/100) Exp[(a (s - r)/(L - r) - a)^(1/b)], L]

Integrate[y, f1, f2]

(a*A*E^(-a + (a*(-r + s))/(L - r))^(1/b)*f1*f2*Ks*(L - n)*(-r + s)(-a + (a*(-r + s))/(L - r))^(-1 + 1/b))/(100*b*(A + (E^(-a + (a*(-r + s))/(L - r))^(1/b))^B)*(L - r)^2)

a=alpha, b=beta

Sincerely, Suvadip

POSTED BY: suvadip mandal

Nasser M. Abbasi

Nasser M. Abbasi, student

Posted 9 years ago

Without any assumptions on some of these parameters Mathematica can't find analytical antiderivative. If you have numerical values for some of these parameters this might help.

POSTED BY: Nasser M. Abbasi

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