where is the gradient, and the integral is a line integral. It is this relationship which makes the definition of a scalar potential function so useful in gravitation and electromagnetism as a concise way to encode information about a vector field.

# Gradient Theorem

## See also

Divergence Theorem, Green's Theorem, Line Integral, Poincaré's Theorem## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Gradient Theorem."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/GradientTheorem.html