integration by parts
DESCRIPTION
ĀTRANSCRIPT
AP Calculus BC
Integration By Parts
Integration By Parts
ā¢ FDWK 6.3, Larson 7.2ā¢ Basic Formula: ā¢ Integration counterpart of the product rule for
derivativesā¢ Also used to find the integrals of logarithmic
and inverse trigonometric functionsā¢ Works with indefinite and definite integrals as
well
Examples
ā¢ Deriving the formulaā¢ Integration by Parts for Indefinite Integralsā¢ Integration by Parts for Definite Integralsā¢ Repeated Integration by Partsā¢ Solving for the Unknown Integralā¢ Tabular Integration by Partsā¢ Integrals of Logarithmic Functions ā¢ Integrals of Inverse Trigonometric Functions
Integration By Parts for Indefinite Integrals
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Integration by Parts for Definite Integrals
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Wrapping it Up
ā¢ When to use Integration by Parts?ā When you have a product that cannot be
simplified and substitution doesnāt applyā It often involves a product of polynomial functions
with exponential or trig functions, or just exponential and trig functions
ā It can be used to find the integrals of logarithmic functions
ā It can be used to find the integrals of inverse trig functions