KnowraGaussian integralLinked fromLinked fromThe 9 pages that link to Gaussian integral, each with the reason it gives.All 9Broader topic 1Related 8PiRelated: A non-circular integral evaluates to a value containing pi.Equipartition theoremRelated: Integrating a quadratic energy term against the Boltzmann weight yields its half-kBT average.Fubini's theoremRelated: A two-dimensional Gaussian integral can be evaluated by switching to polar coordinates and separating radial factors.Completing the squareRelated: Completing the square simplifies exponents when evaluating integrals involving shifted quadratic expressions.Gaussian functionBroader topic: It gives the exact total area beneath the Gaussian curve.Fresnel integralsRelated: Analytic continuation connects Gaussian integrals to quadratic-phase exponentials.Integration by substitutionRelated: A change of variables rescales the Gaussian integral to evaluate related integrals.Sylvester's law of inertiaRelated: The positive and negative directions determine convergence or oscillation in quadratic integrals.68–95–99.7 ruleRelated: Integrating the normal density over the rule’s intervals produces its approximate percentages.