Integration on complicated equation exceeds cloud time limit

Questions
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1

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

2

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.

3

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