KnowraIntegration by partsLinked fromLinked fromThe 10 pages that link to Integration by parts, each with the reason it gives.All 10Related 7Compared with 3Calculus of variationsRelated: It moves derivatives off perturbations to expose the Euler–Lagrange equation and boundary terms.Weak solutionRelated: It moves derivatives from a possibly rough solution onto a smooth test function.Weak derivativeRelated: Weak differentiation formalizes this transfer while compact support removes boundary terms.Indefinite integralRelated: It reverses the product rule when an integrand is a product of functions.Trigonometric substitutionCompared with: It addresses product structure, whereas trigonometric substitution targets quadratic radicals.Summation by partsCompared with: It is the continuous counterpart whose structure summation by parts discretizes.Constant of integrationRelated: Its boundary terms can obscure constants, though indefinite results still represent antiderivative families.Integration by substitutionCompared with: It targets products suited to the product rule, rather than a composite pattern suited to substitution.Noether's second theoremRelated: Rearranging variations by parts exposes the differential identities implied by symmetry.Fundamental lemma of the calculus of variationsRelated: Variational derivations use it to place derivatives on the candidate solution before invoking the lemma.