mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear...

integral curve is a parametric curve that represents a specific solution to an ordinary differential equation or system of equations. Integral curves...

For example, a line integral is defined for functions of two or more variables, and the interval of integration is replaced by a curve connecting two points...

{1}{y^{2}+1}}\,\mathrm {d} y=\arctan(1)={\frac {\pi }{4}}} For the integral of the Gauss curve this value can be generated: ∫ 0 ∞ exp ⁡ ( − x 2 ) d x = 1 2...

contours provide a precise definition of the curves on which an integral may be suitably defined. A curve in the complex plane is defined as a continuous...

Gaussian is a characteristic symmetric "bell curve" shape. The parameter a is the height of the curve's peak, b is the position of the center of the peak...

curve. Determining the length of an irregular arc segment by approximating the arc segment as connected (straight) line segments is also called curve...

tautochrone curve or isochrone curve (from Ancient Greek ταὐτό (tauto-) 'same', ἴσος (isos-) 'equal', and χρόνος (chronos) 'time') is the curve for which...

In the following curve–surface integral theorems, S denotes a 2d open surface with a corresponding 1d boundary C = ∂S (a closed curve): ∮ ∂ S A ⋅ d ℓ  ...

has a holomorphic antiderivative F on U. Then for every curve γ : [a, b] → U, the curve integral can be computed as ∫ γ f ( z ) d z = F ( γ ( b ) ) − F...