Please talk about the method of solving the parametric equation by transforming triple integral, and the calculation method of curve and surface integral
The triple integral can be transformed into a parametric equation. We can find a t as an intermediate variable, so that the original independent variables X, y, Z become the functions of T, so that the original triple integral can be transformed into an integral about the variable t (if it is a definite integral, pay attention to the transformation of the upper and lower limits of the integral)
How does this parametric equation eliminate the parameter k
x=-k/(k^2+4)
y=4/(k^2+4)
The answer is 4x ^ 2 + y ^ 2-y = 0
Division of two formulas
x/y=-k/4
k=-4x/y
Substituting y = 4 / (k ^ 2 + 4)
So y = 4 / (16x ^ 2 / y ^ 2 + 4)
Simplify
4x^2+y^2-y=0