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Integration by Substitution: MATH 171 Problems 4-6 thumbnail

Integration by Substitution: MATH 171 Problems 4-6

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

CosineDefinite IntegralIndefinite IntegralIntegralLogarithmSineTrigonometryu substitution
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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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Area Between Curves: MATH 172 Problems 1-3 thumbnail

Area Between Curves: MATH 172 Problems 1-3

Interpreting integrals to represent areas between curves

AreaArea Between CurvesArea under a curveCosineDefinite IntegralPartition of an IntervalRiemann SumSineTrigonometryu substitution
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Cylindrical Shell Method: MATH 172 Problems 1-3 thumbnail

Cylindrical Shell Method: MATH 172 Problems 1-3

Using cylindrical shells to calculate the volume of a rotational solid

Definite IntegralPartition of an IntervalRiemann SumShell Methodu substitutionVolume
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Calculating Work Using Integrals: MATH 172 Problems 4 & 5 thumbnail

Calculating Work Using Integrals: MATH 172 Problems 4 & 5

Using integrals to calculate work done in physics examples

Definite IntegralPartition of an IntervalRiemann Sumu substitutionWork
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Work and Average Value: MATH 152 Problems 1-9 thumbnail

Work and Average Value: MATH 152 Problems 1-9

Using integrals to solve work problems and find the average value

Average Value of a FunctionDefinite IntegralDefinitionFractionFunctionHooke's LawIntegral of a FunctionQuadraticSquare Rootu substitutionVolume by Parallel Cross SectionsWork
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Integration Using Partial Fractions: MATH 172 Problems 8 & 9 thumbnail

Integration Using Partial Fractions: MATH 172 Problems 8 & 9

Finding a partial fraction decomposition and integrating using partial fractions

CosineIndefinite IntegralIntegration MethodsLogarithmPartial FractionsRational FunctionSineTrig SubstitutionTrigonometryu substitution
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MLC WIR 20B M151 week10 #24d thumbnail

MLC WIR 20B M151 week10 #24d

Using u-substitution to evaluate an indefinite integral

CosineIndefinite IntegralIntegralIntegral of a FunctionPolynomialSineu substitution
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MLC WIR 20B M151 week10 #24e thumbnail

MLC WIR 20B M151 week10 #24e

Using u-substitution to evaluate an indefinite integral

Definite IntegralIntegralIntegral of a FunctionLogarithmPolynomialSineu substitution
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