VMLC

Antiderivatives: MATH 171 Problems 4-6

Proving facts about antiderivatives and a physics application

AccelerationAntiderivativeAntiderivative of a FunctionDerivativeIndefinite IntegralInitial ConditionIntegralPositionVelocity

Using u substitution to evaluate integrals and prove facts about logarithms and integrals and

CosineDefinite IntegralIndefinite IntegralIntegralLogarithmSineTrigonometryu substitution

Proving the Fundamental Theorem of Calculus and examples of u Substitution

Even FunctionFundamental Theorem of CalculusIndefinite IntegralIntegrable FunctionSecantTangentu substitution

Proving the formula for integration by parts and a reduction formula

DerivativeFundamental Theorem of CalculusIndefinite IntegralIntegral RulesIntegration by PartsProduct RuleSecant

Proving trigonometric identities useful for integration

CosineFundamental Trigonometric IdentityIndefinite IntegralSineTrigonometry

Integrating using a trigonometric substitution

ArctangentArea Using Polar CoordinatesIndefinite IntegralIntegration MethodsSecantSineTangentTrig SubstitutionTrigonometry

Finding a partial fraction decomposition and integrating using partial fractions

CosineIndefinite IntegralIntegration MethodsLogarithmPartial FractionsRational FunctionSineTrig SubstitutionTrigonometryu substitution

Evaluating an indefinite integral by simplifying a fraction to powers of x

Indefinite IntegralIntegralIntegral of a FunctionLogarithmMATH 151

Evaluating an indefinite integral with powers of x and using arctangent

ArctangentFundamental Theorem of CalculusIndefinite IntegralIntegralIntegral of a FunctionMATH 151