Advanced Search

NIMA112

50 Reputation

2 Badges

2 years, 223 days
Contact NIMA112

MaplePrimes Activity


These are questions asked by NIMA112

error in integral calculation...

NIMA112 50 Maple 2023
integration
June 06 2025
1 1

what is the problem in the integral calculation ?

integral.mw

> 

restart
> 

kernelopts(version)

`Maple 2023.0, X86 64 WINDOWS, Mar 06 2023, Build ID 1689885`

 (1)
> 

NULL
> 

``
> 

omega := Pi/b
> 

``
> 

G := (ln((1-2*exp(-omega*abs(x-xi))*cos(omega*(y+eta))+exp(-2*omega*abs(x-xi)))/(1-2*exp(-omega*abs(x-xi))*cos(omega*(y-eta))+exp(-2*omega*abs(x-xi))))+ln((1-2*exp(-omega*(x+xi))*cos(omega*(y+eta))+exp(-2*omega*(x+xi)))/(1-2*exp(-omega*(x+xi))*cos(omega*(y-eta))+exp(-2*omega*(x+xi)))))/(4*Pi)

(1/4)*(ln((1-2*exp(-Pi*abs(x-xi)/b)*cos(Pi*(y+eta)/b)+exp(-2*Pi*abs(x-xi)/b))/(1-2*exp(-Pi*abs(x-xi)/b)*cos(Pi*(y-eta)/b)+exp(-2*Pi*abs(x-xi)/b)))+ln((1-2*exp(-Pi*(x+xi)/b)*cos(Pi*(y+eta)/b)+exp(-2*Pi*(x+xi)/b))/(1-2*exp(-Pi*(x+xi)/b)*cos(Pi*(y-eta)/b)+exp(-2*Pi*(x+xi)/b))))/Pi

 (2)
> 

``
> 

int(int(G, xi = 0 .. infinity), eta = 0 .. 1)

Error, (in assuming) when calling 'IntegrationTools:-Indefinite:-Handlers:-LnOnly'. Received: 'invalid input: int/hermiter/horowitzLog expects its 1st argument, f, to be of type ratpoly(anything,x), but received (2*cos(Pi/b*y)*cos(Pi/b*eta)*exp(Pi/b*x)*x1+2*sin(Pi/b*y)*sin(Pi/b*eta)*exp(Pi/b*x)*x1-1)/(1+exp(2*Pi/b*x)*x1^2+(-2*exp(Pi/b*x)*cos(Pi/b*y)*cos(Pi/b*eta)-2*exp(Pi/b*x)*sin(Pi/b*y)*sin(Pi/b*eta))*x1)^2'

  
 

NULL

Download integral.mw

how I can calculate the integral analyti...

NIMA112 50 Maple 2023
integration syntax
April 18 2025
0 3

I have a problem calculating integral analytically.

Can anyone help me in this regard?

Thanks

problem_2_integral_&_moshtagh.mw

convergence of the series solution ...

NIMA112 50 Maple 2021
series
August 30 2024
1 1

 In the calculation process, I selected (num=5). How can I detect the maximum value of num to ensure the series solution would be converged?

seried.mw

how calculate integral...

NIMA112 50 Maple 2020
limit
August 25 2024
0 1

In calculation limit, signum and infinity appear!!!

Is this correct?

 

lim.mw

Reduce time calculations for the integra...

NIMA112 50 Maple 2021
performance integration
August 21 2024
0 4

Hello,

How can I reduce time calculations for the integral process?

Determining H[1] and HH[1] is very boring!!

 

time_consuming_calculations.mw

1 2 3 Page 1 of 3