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- line integrals
Compute answers using Wolfram's breakthrough technology &...
- line integrals
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals.
computes the scalar line integral of the function f [ x, y, …] over the curve. LineIntegrate [ { p, q, … }, { x, y, … } ∈ curve] computes the vector line integral of the vector function { p [ x, y, …], q [ x, y, …], …. }.
1 lip 2024 · The line integral of a vector field F(x) on a curve sigma is defined by int_(sigma)F·ds=int_a^bF(sigma(t))·sigma^'(t)dt, (1) where a·b denotes a dot product. In Cartesian coordinates, the line integral can be written int_(sigma)F·ds=int_CF_1dx+F_2dy+F_3dz, (2) where F=[F_1(x); F_2(x); F_3(x)].
Here you can calculate line integrals of scalar fields and of vector fields for curves in the xy plane. The curves can be created for polylines using a list of points to be connected or, for curved curve segments, by providing parametric equations.
\sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div: x^{\circ} \pi \left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x)
Free Online Integral Calculator allows you to solve definite and indefinite integration problems. Answers, graphs, alternate forms. Powered by Wolfram|Alpha.
