Double Integral Question to solve ...

Any suggestion to solve this?!!!!

the int command cant solve this and if i want to use integral2 i will face the error because of symbolic intervals of y

Answer 1

[Walter Roberson]

int() might not be able to handle it directly, but it might be able to handle the inner integration. If so then do that and then matlabFunction() to convert it to a function handle that you can pass to integral()

[Masoud Ghanbari]

Inner integral can not be solved by int commnad either...

what do you think to do next?!

[Walter Roberson]

The inner integral is

((2/3 * ((1/2) * x^(1/3) - (1/2)* x^(5/3) + sqrt(1 - x^(2/3)) * sqrt(1 + x^(2/3)) * ellipticf(x^(1/3), i))) * sqrt(1-x^4) + (1/3 * (-2 * sqrt(-(-1 + x^2) * (1 + x^2)) * ellipticf(x, i) - x + x^5)) * sqrt(1-x^(4/3))) / (sqrt(1 - x^(4/3)) * sqrt(1-x^4))

I think I might be able to come up with a better representation... let me check.