Question

what does LIATE stand for?

Answer 1

Logarithmic Inverse Algebraic Trigonometric Exponential

Answer 2

when using integration we should use liate,
l = logarithm function.
I=inverse trigonometric function
A=algebraic function
T= trigonometry function
E=exponential function

Answer 3

if the integral contains of logarithm and exponential function then according to liate your U should be the logarithm function the dv/dy=exponential

Answer 4

Yea lets take an example

\[y = \int\limits\limits_{}^{} e^x \log xdx\]
now there are two functions right?! so what rule we use?!?

\[\int\limits_{}^{}uvdx = u \int\limits_{}^{}vdx - \int\limits_{}{}{[{\frac{du}{dx} \int\limits_{}v}}]dx\]

now the question is.. which is the u and which is v??

so you use liate rule.. so logaritmic comes first.. hence logx would be u and e^x would be v

Answer 5

does this rule apply in differentiation also?

Answer 6

i have never heard of such silliness
is this the calculus version of "foil"
or perhaps "pemdas"?

Answer 7

this is the liate rule which i guess is used to solve problems in integration n differentiation. i guess so i am not sure.

Answer 8

its not SILLINES.. just cause you haven't heard it.. :P


and bluesea.. in differentiation you ll never encounter such problem.. you see in differenciation the product rule is symmetric.. so doesn't matter which function is u and which function is v

Answer 9

now that explains it. thanku all....

Answer 10

:)

Answer 11

your welcome ;-)!