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Mathematics 7 Online
satellite73 (satellite73):

someone help me pleez! what is ILATE?

OpenStudy (anonymous):

sounds like an applet designed to make you miss all your appointments

OpenStudy (anonymous):

this is a cool acronym

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

althoug i think it may be spelled wrong. The way i spell it it , LIATE

OpenStudy (anonymous):

It basically is : Lilliputians In Africa Tackle Elephants

OpenStudy (anonymous):

I->Inverse L->Log A-> Algebraic T-> Trig E-> Exponential

OpenStudy (anonymous):

It's short for I'm Late

OpenStudy (anonymous):

Logs-->Inverse Trig-->Algebra---->Trig--->Exponetial

OpenStudy (anonymous):

Yup ^_^ looks better

OpenStudy (anonymous):

No, he asked ILATE..... Inverse-->Log-->Algebraic ---> Trig--->Exponential

OpenStudy (anonymous):

oh, i assumed the other one, I am so use to it :)

OpenStudy (anonymous):

Let v and u be function of x \[\int u.v dx = v\int u dx - \int(\int u dx \frac{d (v)}{dx})\] Order of choosing v.

OpenStudy (anonymous):

i have never heard of it before and, as we say in the math biz, "i don't get it"

OpenStudy (anonymous):

its used for picking the u in integration by parts

OpenStudy (anonymous):

It's not important just a way for students to memorize things not important

OpenStudy (anonymous):

In india any student prepering for IIT JEE must be aware of all such tricks tips and logic bits

OpenStudy (anonymous):

ok like PEMDAS that knows somebody

OpenStudy (anonymous):

Bah, pick something u can integrate...

OpenStudy (anonymous):

no not necessary @vicky

OpenStudy (anonymous):

so if you want to integrate by parts first you look at "inverse"?

OpenStudy (anonymous):

is that supposed to be your u or your dv?

OpenStudy (amistre64):

since an inverse trig function derives to a baser form; its a good pick

OpenStudy (anonymous):

Suppose to be the U

OpenStudy (anonymous):

everything else should be dv

OpenStudy (anonymous):

\[\int\tan^{-1}(x)\ln(x)x^2dx\]

OpenStudy (anonymous):

nu inverse is v if any other its u

OpenStudy (anonymous):

there is my example. so first take out the \[\tan^{-1}(x)\]?

OpenStudy (amistre64):

lol ... multiple perversions

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

lol

OpenStudy (amistre64):

you have a tri product; which you would have to develop a newer method for

OpenStudy (anonymous):

just trying to follow along. because it is new to me

OpenStudy (amistre64):

int by parts comes from the product rule

OpenStudy (anonymous):

oh i thought it was like "first this, then that, then the other"

OpenStudy (amistre64):

\[[uv]'=uv' + vu'\] i just love how the font makes all the letters look exactly alike

OpenStudy (anonymous):

ok fine lets make it simpler then. \[\int \tan^{-1}(x)\ln(x)dx\] what does iLATE tell me?

OpenStudy (akshay_budhkar):

tan^-1x is the first term in the rule...

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

"inverse" got it. and then?

OpenStudy (amistre64):

\[[uv]'=uv' + vu'\] \[\int[uv]'=\int uv' +\int vu'\] \[uv=\int uv' +\int vu'\] \[uv- \int vdu=\int udv \]

OpenStudy (anonymous):

ln would be dv

OpenStudy (anonymous):

...

OpenStudy (akshay_budhkar):

logarithmic then.. its the 2nd function in ILATE

OpenStudy (anonymous):

I like the iLate app idea more.

OpenStudy (anonymous):

so diff. the inverse trig, and integrate the ln

OpenStudy (anonymous):

I Like A Tobe Expert...

OpenStudy (anonymous):

i sent it to steve jobs. he looked at my idea and quit!

OpenStudy (akshay_budhkar):

Tobe?

OpenStudy (amistre64):

ILATE isnt PEDMAS, its just a memory device to keep you aware of what you could pick

OpenStudy (akshay_budhkar):

LOL

OpenStudy (anonymous):

lol@satellite

OpenStudy (akshay_budhkar):

ILATE is like pedmas right?>

OpenStudy (amistre64):

pedmas says do it in this order; ilate says these are good picks

OpenStudy (anonymous):

ok now i am actually really confused.

OpenStudy (amistre64):

one is permutations and the other is combonations :)

OpenStudy (amistre64):

order counts in pedmas; not in ilate

OpenStudy (anonymous):

i put \[\int\tan^{-1}(x)\ln(x)dx\] and apparently arctangent comes before log in ilate. so what does that tell me?

OpenStudy (anonymous):

but ILATE rule is not applicable to every integration sometime it leads to very complicated equation to integrate I personally feel it's not good I may be wrong but I don't like the ILATE rule

OpenStudy (anonymous):

i don't know if i like it or not because i don't understand it still.

OpenStudy (amistre64):

since integration is more art than science; there is no concrete rule for what has to be picked out when and where

OpenStudy (amistre64):

so its more of a suggestions as to what can be used for "u"

OpenStudy (anonymous):

ilate tells you \[tan^{-1}x \int logx dx - \int[ \int logxdx \times \frac{d}{dx} \times tan^{-1}x]\]

OpenStudy (akshay_budhkar):

We had a debate in our college whether ILATE or LIATE is right.. Final conclusions were !. It won't come in your examinations 2.Use either if you have both together you will have to use it twice like if u integrate lnx u will have to find the integral by the same rule in a separate step

OpenStudy (anonymous):

Yes completely agree with Amistre

OpenStudy (anonymous):

I prefer LIATE

OpenStudy (amistre64):

i just use the acronym: wolframalpha.com :)

OpenStudy (anonymous):

god now i know how people who post "hlep me pllleeeeeez x^2-4" feel because i still don't get it. i know how to integrate by parts, (although i alway forget whether you are supposed to say u dv or v du) but i can't make heads of tails of this

OpenStudy (akshay_budhkar):

what is that you not getting??

OpenStudy (amistre64):

you could just as well say m ds and s dm

OpenStudy (anonymous):

lol amistre

OpenStudy (anonymous):

oh here always take the function with more preference according to ILATE as v

OpenStudy (amistre64):

♫ d☺ and ☺ d♫

OpenStudy (anonymous):

lol

OpenStudy (akshay_budhkar):

lol

OpenStudy (anonymous):

what it tells me to do. apparently i picked a bad example because i had IL and it might be IL or LI, so let me pick a different one \[\int x^3\tan^{-1}(x)dx\] something not ambiguous. what does ILATE say?

OpenStudy (amistre64):

tan-1 should be derived since it "reduces" to a baser form that can be worked with easier than it suits up

OpenStudy (akshay_budhkar):

that you differentiate tan^-1x and integrate x^3

OpenStudy (anonymous):

oh bless you! as we say in math class "i get it"

OpenStudy (anonymous):

ilate gives order in which you differentiate!

OpenStudy (anonymous):

yes

OpenStudy (akshay_budhkar):

yup

OpenStudy (anonymous):

thank you all.

OpenStudy (amistre64):

suggests candidtaes for deriving

OpenStudy (anonymous):

lol

OpenStudy (akshay_budhkar):

i like the way amistre answers!!!

OpenStudy (anonymous):

me too

OpenStudy (amistre64):

i type for the dyslexic imparied :)

OpenStudy (anonymous):

now how do you find the vertex of \[y=x^2-2x+3\]?

OpenStudy (amistre64):

first we have to define a vertex so that it makes sense :)

OpenStudy (anonymous):

ask wolfram

OpenStudy (amistre64):

2/2 = 1\

OpenStudy (anonymous):

parabola y+1 = (x-2)^2 vertex 2,1

OpenStudy (anonymous):

None is answering any questions, lol

OpenStudy (anonymous):

can anybody see the starting of this question!!!!!!!!!!!!1

OpenStudy (amistre64):

well, all the same group is asking questions that theyve already been given the answers to over and over again :)

OpenStudy (akshay_budhkar):

lol amistre

OpenStudy (anonymous):

\[\color{Indigo}{\Huge{\text{iLate}}}\]

OpenStudy (akshay_budhkar):

i---->late

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