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Proofs of trigonometric identitiesIterated integralAntiderivativeIntegration by partsGeneralizations of the derivativeMultiple integralSymbolic integrationIntegration using euler's formulaIntegration by substitutionChain ruleMultivariable calculusInverse function ruleLogarithmic differentiationFractional calculusFundamental theorem of calculusQuotient ruleTopological tensor productIntegro-differential equationNumerical integrationSubderivativeSeparation of variablesPartial derivativeCalculus on euclidean spaceOrder of integrationIndeterminate formCross-multiplicationSecond covariant derivativeDifferentialGradient theoremConstruction of the real numbersSubstitutionNewton's method in optimizationOrdinary differential equationMultiple-scale analysisIntegralDerivative testSmoothnessMatrix differential equationLegendre functionDarboux integralDifferential formAlgebraic expressionIntegral transformImplicit function theoremProduct ruleElliptic integralIntegral curveAnalytic function of a matrixSurface integralEuler's continued fraction formulaDiscrete calculusTrigonometric substitutionPythagorean trigonometric identitySecant methodMathematicsGradientSecond derivativeTaylor seriesTrigonometric polynomialTrapezoidal ruleFormal derivativeSingular integralSymmetry of second derivativesTangential and normal componentsTrigonometric functionsLogarithmic derivativeConstant of integrationTrigonometric integralDifferential equationJacobian matrix and determinantDifferentiable curveFunctional derivativePartial differential equationSummation by partsCoarea formulaLinear differential equationExponential sumTriple product ruleResidue theoremTangent half-angle formulaDifferentiable functionNumerical differentiationConvergence testsTaylor's theoremIntegral of inverse functionsFormal power seriesCalculusIntegrating factorInfinite divisibilityIntersection numberGlossary of areas of mathematicsAutomatic differentiationIdentityTotal variationDifferential of a functionContinued fractionFunction of several real variablesMultivalued functionHolomorphic functionGeneralized continued fraction