All conic section can be written in the general form
The conic section represented by an equation in general form can be determine the coefficient.
If coefficient is
If coefficient is
If coefficient is
If coefficicent is
To find value of
Compare general equation with given equation
Here
Here
Therefore ,the given equation as an ellipse.
I am trying to evaluate the integral
I am wondering if a complex variable substitution the likes of , is justifiable? In my mind. when x=0,u=0 and when which would make the integral