
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
July 18th, 2009, 05:20 AM  #1 
Joined: Jun 2009 Posts: 150 Thanks: 0  Integration by Parts ... the LIATE heuristic
When you apply integration by parts, there is usually a choice of what to call u and what to call dv. The "LIATE" heuristic provides a suggestion of how to do that. It doesn't always work, but it works so often that it is worth remembering and using it as the first attempt. LIATE stands for: Logarithmic Inverse trigonometric Algebraic Trigonometric Exponential The heuristic says: when there are two factors in the integrand, choose u as the one furthest to the left in LIATE and choose dv as the one furthest to the right. Example... ... Here is algebraic, is exponential. So use ... Here is algebraic, is logarithmic. So use Try this... 

Tags 
heuristic, integration, liate, parts 
Search tags for this page 
liate,liate maths,LIATE in maths,What is LIATE[in Intigration],liate meaning,liate low of maths,meaning of LIATE,liate calculus,liate in integration stands for??,meanings of LIATE in maths,Meaning of liate in maths,laited (math,remembering liate,Meaning of LIATE in math,meaning of L.I.A.T.E in maths
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Integration by Parts  UncleFester  Real Analysis  7  December 31st, 2013 04:58 AM 
Integration by Parts  bilano99  Calculus  3  March 28th, 2013 06:43 AM 
Integration by parts.  Calculus  1  January 24th, 2012 06:43 PM  
integration by parts  jakeward123  Calculus  16  February 24th, 2011 08:34 AM 
Integration by parts  tnutty  Calculus  1  February 23rd, 2009 02:31 PM 