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Mathematics 21 Online
OpenStudy (christos):

Integrals, Can someone please explain to me the "LIATE technique" when we are trying to integrate by parts ?

OpenStudy (watchmath):

ILATE I guess?

OpenStudy (christos):

My book calls it LIATE

OpenStudy (dumbcow):

never heard of this technique...what is it an acronym for?

OpenStudy (christos):

http://screencast.com/t/rCJeo0Emntyj

OpenStudy (christos):

Logarithmic, Inverse Trigonometric, Algebraic, Trigonometric, Exponential

OpenStudy (watchmath):

First of all I just want to say that this rule mostly works but not works every time. It says that whenver you do integration by parts and you have two type of expressions, says L and A then the priority to be the u is the one that is mentioned first (so in this case choose u=L).

OpenStudy (watchmath):

Example: \(\int xe^x dx\). Here x=A and e^x=E. A comes before E so choose u=x and e^xdx=dv

OpenStudy (christos):

thanks

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