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The 21 pages that link to Fundamental theorem of calculus, each with the reason it gives.

• CalculusRelated: It connects calculus’s two main operations and enables efficient evaluation of definite integrals.

• Definite integralRelated: It often evaluates an integral through endpoint values of an antiderivative.

• Riemann integralRelated: It provides a practical way to evaluate many Riemann integrals.

• IntegralRelated: It explains why evaluating an antiderivative can compute a definite integral.

• Green's theoremCompared with: It is the one-dimensional boundary-to-interior principle that Green's theorem generalizes.

• TheoremBroader topic: It demonstrates how a theorem can unite two major mathematical operations.

• Stokes' theoremRelated: Stokes' theorem extends the endpoint principle to surfaces and their boundaries.

• AntiderivativeRelated: It turns an antiderivative into a method for evaluating accumulated change.

• Integral calculusRelated: It connects accumulated area to antiderivatives and makes many integrals computable.

• Mathematical analysisRelated: It links the two central operations and allows definite integrals to be evaluated using antiderivatives.

• History of calculusBroader topic: It expresses the unifying discovery at the heart of classical calculus.

• Generalized Stokes theoremBroader topic: It is the one-dimensional instance of integrating a derivative over a manifold with boundary.

• Indefinite integralRelated: It explains how antiderivatives evaluate definite integrals.

• Leibniz notationRelated: Its two operations are written with Leibniz's derivative and integral symbols.

• Constant of integrationRelated: It explains how antiderivatives evaluate definite integrals, where additive constants cancel.

• Grönwall's inequalityRelated: It links differential inequalities to the integral estimates used by Grönwall's inequality.

• Leibniz integral ruleRelated: It supplies the endpoint terms when a limit of integration moves.

• Gradient theoremNarrower topic: The gradient theorem is its counterpart for line integrals.

• Limits of integrationRelated: It evaluates an integral by subtracting antiderivative values at the two limits.

• Cauchy's formula for repeated integrationRelated: Differentiating the formula's integral recovers the lower-order repeated integral.

• Fundamental lemma of the calculus of variationsCompared with: Both connect integral information to pointwise behavior, but by different hypotheses and mechanisms.