The value of ​ ∫CF⋅dr=2083.

The question seems to be incomplete. The integral ∫CF⋅dr=2083 is a line integral in vector calculus, often used in physics to calculate work done by a force along a path. However, to solve this, we need more information such as the vector field F and the curve C along which the integral is taken.

The general steps to solve such a problem would be:

1. Parametrize the curve C. This means expressing the curve as a vector function r(t) of a parameter t.

2. Substitute the parametrization into the vector field F to get a new vector field along the curve.

3. Take the dot product of F with the derivative of r(t) to get a function of t.

4. Integrate this function with respect to t over the interval of the parameter that corresponds to the curve C.

Without specific information about F and C, we can't go further in solving this problem.