L18 - Integration Strategies

L18 - Integration Strategies - Strategies for Integration...

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Strategies for Integration Know the basic formulas! If an integrand is not a basic formula, then 1. Simplify if possible Ex. e x e 2 e x  dx Ex.   2 2 4 xd x Ex. 1 tan 2 x dx 2. Use u-substitution Ex. x cos x 2 e sin x 2 dx
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3. For rational functions: (A.) Divide if necessary Ex. x 2 1 ( x 1)( x 2) dx (B.) Use partial fractions (C.) Complete the Square Ex. 1 x 2 4 x 5 dx
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4. Use integration by parts – look for a product in the integrand or a term that we cannot integrate but can take the derivative of. Ex. xe x dx 5. If you have a radical a 2 u 2 and it isn’t a basic formula, use trig substitution.
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This note was uploaded on 08/28/2011 for the course MATH 1206 taught by Professor Llhanks during the Spring '08 term at Virginia Tech.

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L18 - Integration Strategies - Strategies for Integration...

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