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Home The Fundamental Theorem of CalculusThree Different QuantitiesThe Whole as Sum of Partial ChangesThe Indefinite Integral as AntiderivativeThe FTC and the Chain Rule The Indefinite Integral and the Net ChangeIndefinite Integrals and Anti-derivativesA Table of Common Anti-derivativesThe Net Change TheoremThe NCT and Public Policy SubstitutionSubstitution for Indefinite IntegralsRevised Table of IntegralsSubstitution for Definite Integrals Area Between CurvesThe Slice and Dice PrincipleTo Compute a Bulk QuantityThe Area Between Two CurvesHorizontal SlicingSummary VolumesSlicing and Dicing SolidsSolids of Revolution 1: DisksSolids of Revolution 2: WashersVolumes Rotating About the $y$-axis Integration by PartsBehind IBPExamplesGoing in CirclesTricks of the Trade Integrals of Trig FunctionsBasic Trig FunctionsProduct of Sines and Cosines (1)Product of Sines and Cosines (2)Product of Secants and TangentsOther Cases Trig SubstitutionsHow it worksExamplesCompleting the Square Partial Fract...

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