Question

What is LIATE rule with example

Answer 1

Answer:

LIATE and ILATE are supposed to suggest the order in which you are to choose the “u”.

Answer 2

Answer:

For those not familiar, LIATE is a guide to help you decide which term to differentiate and which term to integrate. L = Log, I = Inverse Trig, A = Algebraic, T = Trigonometric, E = Exponential. The term closer to E is the term usually integrated and the term closer to L is the term that is usually differentiated.

exp-

functions tan−1(x), sin−1(x), etc. ... E Exponential functions ex, 2x, etc. Example 1. ∫ x sin(x)dx. Following the LIATE rule, u = x and dv = sin(x)dx since x is an algebraic function and sin(x) is a trigonometric function.