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Fundamental Theorem of Calculus: MATH 171 Problems 1-3 thumbnail

Fundamental Theorem of Calculus: MATH 171 Problems 1-3

Proving and then applying the Fundamental Theorem of Calculus

AntiderivativeAntiderivative of a FunctionConcave DownConcave UpContinuousDerivativeDifference QuotientDifferentiableExtreme Value TheoremFundamental Theorem of CalculusGraphGraph of AntiderivativeGraph of DerivativeIncreasingIntegralLimitSqueeze (or Sandwich) Theorem
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Fundamental Theorem of Calculus and u-Substitution: MATH 172 Problems 4-7 thumbnail

Fundamental Theorem of Calculus and u-Substitution: MATH 172 Problems 4-7

Proving the Fundamental Theorem of Calculus and examples of u Substitution

Even FunctionFundamental Theorem of CalculusIndefinite IntegralIntegrable FunctionSecantTangentu substitution
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Integration by Parts: MATH 172 Problems 1 & 2 thumbnail

Integration by Parts: MATH 172 Problems 1 & 2

Proving the formula for integration by parts and a reduction formula

DerivativeFundamental Theorem of CalculusIndefinite IntegralIntegral RulesIntegration by PartsProduct RuleSecant
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MLC WIR 20B M151 week10 #21 thumbnail

MLC WIR 20B M151 week10 #21

Evaluating a definite integral by interpreting it as an area and using geometry

AreaArea under a curveDefinite IntegralFundamental Theorem of CalculusIntegralIntegral FunctionIntegral of a FunctionMATH 151
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MLC WIR 20B M151 week10 #22 thumbnail

MLC WIR 20B M151 week10 #22

Using the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral

CosineDefinite IntegralFundamental Theorem of CalculusIntegralIntegral FunctionIntegral of a FunctionMATH 151Sine
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MLC WIR 20B M151 week10 #23b thumbnail

MLC WIR 20B M151 week10 #23b

Evaluating an indefinite integral with powers of x and using arctangent

ArctangentFundamental Theorem of CalculusIndefinite IntegralIntegralIntegral of a FunctionMATH 151
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Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12 thumbnail

Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12

Using Reimann sums and the Fundamental Theorem of Calculus

Absolute ValueApproximationArea under a curveCosineDefinite IntegralDefinite Integral RulesDerivativeExponential FunctionFundamental Theorem of CalculusIntegralIntegral of a FunctionLimitLogarithmMidpoint RuleMidpointsPolynomialRadicalRational FunctionRiemann SumSineSquare Root
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Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12 thumbnail

Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12

Using Riemann sums and the Fundamental Theorem of Calculus

Absolute ValueApproximationArea under a curveCosineDefinite IntegralDefinite Integral RulesDerivativeExponential FunctionFundamental Theorem of CalculusIntegralIntegral of a FunctionLimitLogarithmMidpoint RuleMidpointsPolynomialRadicalRational FunctionRiemann SumSineSquare Root
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Integration by Substitution: MATH 151 5.5 Problems 13 & 14 thumbnail

Integration by Substitution: MATH 151 5.5 Problems 13 & 14

Examples of integration by substitution

CompositionContinuous FunctionCosineDefinite IntegralExponential FunctionFundamental Theorem of CalculusIndefinite IntegralLimits of IntegrationLogarithmRadicalRational FunctionSquare Rootu substitution
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