By explicitly parameterizing show that if C is the constant

By explicitly parameterizing, show that if C is the constant curve (that is, the curve which consists of a single point), then for any vector field F we have integral_C F. dx = 0.

Solution

it would be zero . since we can parametrize curve by (t,t,t) and t goes from zero to zero

or for any constants (x_0,y_0,z_0)

(x_0+t,y_0+t,z_0+t)