@pagan 

very curious, I will be more careful from now on with the names of the vectors.

Thanks 

@pagan 

very curious, I will be more careful from now on with the names of the vectors.

Thanks 

Thanks for your reply, I took a look at it again, i just copied and pasted what you wrote, and it did the integral perfectly. Then I noticed that my original a₀ had been replaced by a_0; I made this change and once again the program gave me the same error. Why does placing a₀ give me an error, while a_0 does not?

_Thanks; 

Thanks for your reply, I took a look at it again, i just copied and pasted what you wrote, and it did the integral perfectly. Then I noticed that my original a₀ had been replaced by a_0; I made this change and once again the program gave me the same error. Why does placing a₀ give me an error, while a_0 does not?

_Thanks; 

Thanks, that helped me a lot, but now I also know about pade approx. By the way, is there an estimate of how accurate maple calculates the numerical integral?

Thanks, that helped me a lot, but now I also know about pade approx. By the way, is there an estimate of how accurate maple calculates the numerical integral?

thank you for your suggestion, pade approximation is very useful the way you outlined it, and it is in close agreement with the direct numerical computation. Now I know how to use it properly.

thank you for your suggestion, pade approximation is very useful the way you outlined it, and it is in close agreement with the direct numerical computation. Now I know how to use it properly.

f:=sqrt(1+cos(x)*cos(y)*cos(x+y));

The double integral should be like:

Int(Int( f , y=0 .. x+1), x=0 ..1);

Thanks

f:=sqrt(1+cos(x)*cos(y)*cos(x+y));

The double integral should be like:

Int(Int( f , y=0 .. x+1), x=0 ..1);

Thanks

how would you evaluate it in the following case then: (with what substitution, would maple be able to do it?)

int(F(x, y), y = 0 .. 1)

how would you evaluate it in the following case then: (with what substitution, would maple be able to do it?)

int(F(x, y), y = 0 .. 1)

Output:

Warning, unable to determine if 2*(-arccos(-(1/2)*cos((1/2)*k[x]*a*3^(1/2))+(1/2)*(cos((1/2)*k[x]*a*3^(1/2))^2-1)^(1/2))+2*Pi*_Z1002)/a is between 0 and (1/3)*(k[x]+(4/3)*Pi*3^(1/2)/a)*3^(1/2); try to use assumptions or set _EnvAllSolutions to trueWarning, unable to determine if 2*(-arccos(-(1/2)*cos((1/2)*k[x]*a*3^(1/2))+(1/2)*(cos((1/2)*k[x]*a*3^(1/2))^2-1)^(1/2))+2*Pi*_Z1007)/a is between 0 and (1/3)*(k[x]+(4/3)*Pi*3^(1/2)/a)*3^(1/2); try to use assumptions or set _EnvAllSolutions to true

Lol, just Figured it out, the symbolic expression should be Pi, not pi;

Thanks though;

Lol, just Figured it out, the symbolic expression should be Pi, not pi;

Thanks though;