# Line integral: Quiz

Question 1: This answer can be also verified by the ________.
Residue theoremCauchy's integral formulaCauchy's integral theoremCauchy–Riemann equations

Question 2: The "________" of quantum mechanics actually refers not to path integrals in this sense but to functional integrals, that is, integrals over a space of paths, of a function of a possible path.
Quantum electrodynamicsQuantum field theoryPath integral formulationPropagator

Question 3: The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve (commonly ________ or, for a vector field, the scalar product of the vector field with a differential vector in the curve).
CalculusArc lengthDerivativePi

Question 4:
Which of the following titles did Line integral have?
 Exponential Integral Topological Methods in the Theory of Nonlinear Integral Equations Integral Equations Path integral

Question 5: For a vector field F : URnRn, the line integral along a piecewise smooth ________ CU, in the direction of r, is defined as
Elliptic curveManifoldCurveAlgebraic geometry

Question 6: If a vector field F is the ________ of a scalar field G, that is,

Question 7: A line integral of a scalar field is thus a line integral of a vector field where the vectors are always ________ to the line.
DerivativeManifoldTangentTrigonometric functions

Question 8: Due to the ________ the curl of the vector field corresponding to the conjugate of a holomorphic function is zero.

Question 9:
Continuous functionImproper integralDerivativeImplicit and explicit functions

Question 10: The function to be integrated may be a scalar field or a ________.