Double Integral Question to solve ...

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Masoud Ghanbari
Masoud Ghanbari on 6 Nov 2013
Commented: Walter Roberson on 6 Nov 2013
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

Answers (1)

Walter Roberson
Walter Roberson on 6 Nov 2013
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()
Walter Roberson
Walter Roberson on 6 Nov 2013
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.

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