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for yes sir okay so this lecture is going to be about ton theorem uh in our previous lecture we learned about F we proved this actually is Mu cross new integrable then both the iterated integrals of f exist not they exist they are equal and the common value is the double integral of F that is the fibon theorem tal theorem in a way is a partial Converse of the fibon theorem Iamp;#39;ll first give some motivation for the result the converse of the fubus theum generally speaking is not true that is mere existence of the iterated integrals is not sufficient for integrability and you can see this or you can justify whatever whatever Iamp;#39;m saying by means of this example if you examine this example which is given in 1 FX equal to this x - Y 2 by x + y s sare when X is XY where XY is coming from the rectangle 0 1 cross 0 one with the exception of the origin at origin the function is defined as zero if you examine this function f then it turns out both the iterated integrals exist but
