pls help me understand the LIATE rule

Question

directrix · Answer

Read here: https://mathnow.wordpress.com/2009/10/14/liate-ilate-and-detail/

directrix · Answer

Many calc books mention the LIATE, ILATE, or DETAIL rule of thumb here. These are supposed to be memory devices to help you choose your “u” and “dv” in an integration by parts question. We have L = logarithmic I = inverse trigonometric A = algebraic T = trigonometric E = exponential LIATE and ILATE are supposed to suggest the order in which you are to choose the “u”. In DETAIL (LIATE backwards with a D in front, right?) we have the order in which to choose our “dv”. https://mathnow.wordpress.com/2009/10/14/liate-ilate-and-detail/