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Integration of two variable function

Note: This concept idea hasn't been proven yet or maybe mathematically incorrect. Any contribution would be greatly appreciated. Basic Knowledge of Integration and Functions In mathematics, usually we take `x` as independent variable and `y` as dependent variable. In General, a function is written as `y=ax^2+bx+c` If we differentiate the above function, we get: `\frac{dy}{dx}=2ax+b ` i.e   `dy=(2ax+b)dx ` Generally, a Integral function is written as: `f(x)=\int (2ax+b) dx ` Note: There is a wrong perception that, Integration give area under function, but actually, Definite Integration give area under a given function `f(x)` and Indefinite Integration gives an entire family of functions with an infinite number of members. Therefore, it is understood that:  `f(x)= \int dy=\int (2ax+b)dx` So, After clearing the basic knowledge, we can see how to Integrate something like this: `\int f(x,y) dx`   (where both `x` and `y` are variable)    Integration of two variable function `F(x,y)`