Techniques of Integration - Handout

Techniques of - Techniques of Integration Knowledge of the basic integration formulas is a must to be able to integrate successfully Here is a list

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M. Castroconde July 2008 Techniques of Integration Knowledge of the basic integration formulas is a must to be able to integrate successfully. Here is a list of the most basic formulas to know. Here are suggested steps to follow when trying to integrate a function: Step 1: Check if a basic formula can be used. Step 2: Check if algebraic simplification of the integrand allows the use of basic formulas. Step 3: Check if a substitution reduces the integral to a basic formula. Step 4: Identify the type of integral by the integrand (trigonometric, rational, integration by parts, trigonometric substitution) and use the appropriate technique. Step 5: If all fails, TRY AGAIN. 1. 1 ,1 1 n n u udu Cn n + =+ + 2. uu edu e C 3. ln u u a adu C a 4. 1 ln | | du u C u 5. cos sin u C 6. sin cos =− + 7. 2 sec tan = + 8. 2 csc cot = −+ 9. tan ln sec = + 10. cot ln sin = + 11. sec tan sec d u u C = + 12. csc cot csc d u u C = 13.
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This note was uploaded on 12/08/2010 for the course MATH 3B taught by Professor Castroconde during the Spring '09 term at Irvine Valley College.

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Techniques of - Techniques of Integration Knowledge of the basic integration formulas is a must to be able to integrate successfully Here is a list

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