How do i use my hyperbolic substitution in this integral?

- anonymous

How do i use my hyperbolic substitution in this integral?

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- anonymous

|dw:1371048593605:dw|

- anonymous

i have a feeling cosh is involved here

- anonymous

x-2 = coshu?

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## More answers

- dan815

is that trig identity right?

- dan815

|dw:1371048738161:dw|

- anonymous

yup :)

- dan815

are u sure its not sinh - cosh right

- anonymous

1+sinh = cosh it has to be right ..i think

- dan815

ok then

- dan815

|dw:1371048804583:dw|

- dan815

|dw:1371048938889:dw|

- anonymous

ah of course!! thank you!

- dan815

now just convert dx into du

- dan815

|dw:1371049026281:dw|

- dan815

hold on did i make a mistake somewher -.- this simplfies too welll

- dan815

|dw:1371049337350:dw|

- dan815

ok there we go now its fixed

- anonymous

ah i was thinking that- isn't it 2 though?

- dan815

where?

- anonymous

|dw:1371049444272:dw|

- dan815

|dw:1371049432902:dw|

- dan815

that is arccosh

- dan815

oh hmm lemme chekc again i got root 2 from here

- anonymous

oh no sorry it is

- dan815

|dw:1371049511977:dw|

- anonymous

i lost my root - ok i think im there...

- anonymous

ok got it!! thanks :) any idea why there's a root 2 at the beginning or is it just something to remember?

- dan815

we solved it

- anonymous

:D you solved it

- dan815

lol

- dan815

|dw:1371049765979:dw|

- dan815

we want this expression right from here|dw:1371049787270:dw|

- dan815

so its gotta be root2 sothat when u square it will be 2

- anonymous

yup

- dan815

|dw:1371049810220:dw|

- dan815

|dw:1371049857808:dw|

- dan815

and now u know everything

- dan815

its just tweaking so u get the expression u can use

- anonymous

riight i see! what i'm kind of seeing is that there's no right or wrong substitution its just the one that works in the end

- anonymous

which is just what you said :P

- dan815

everything starts from this
nice identity
cosh^2-sinh^2=1
or other way i cant remember

- dan815

frrom here we just tweak it

- anonymous

really the only difference between hyperbolic and non hyperbolic in the ones we've been doing is that it changes the cos^2+sin^2 identity

- dan815

is this highschool?

- anonymous

further maths a level so yup

- dan815

u are pretty smart for highschool kid

- dan815

what is further maths a level

- anonymous

aw thanks :) i guess you're not from uk then? a levels are just before university

- dan815

oh ok, yeah I am in Canada

- anonymous

ah cool :) and i'm really not, my exam is next week, gunna fail :P are u a teacher or anything?

- dan815

no lol just a lowly university students xD

- anonymous

lol! what year of uni?

- dan815

2nd year

- anonymous

so that makes u like 19?

- anonymous

ur pretty smart too!

- dan815

lol well math is kinda grinded down into you for engineering

- dan815

its the only course everyone does good in engineering.. everything else just drains you haha

- dan815

But i am really starting to like math!! it gets fun once you get into a lot of integration... you can finally see what u learnt all this math for

- anonymous

oh dear :P i can imagine though, i'm gonna be doing just maths in uni, everything else drains me aswell

- anonymous

yeah it gets more interesting the higher you go really

- dan815

i am Enginering physics student, so i am trying to get really good at Math, then physics is pretty fun!! all the electricity stuff, i just wanna be able to learn theory and not worry about the math part, so im really trying to brush up my math before 2nd year starts

- dan815

how do you get into university in UK.. do u need to write some "SAT" equivalent there

- anonymous

yeah thats a really good idea ! and you just need grades from 3 a level courses and a personal statement

- dan815

oh cool

- dan815

i watch some videos on youtube from this woman who taught at mit

- dan815

not mit.. cambridge

- dan815

shes a really good math teacher!

- dan815

and u u can watch MIT math lectures on youtube.. those are really good too

- dan815

theyre the best teachers, u shud watch em.. very hard to find good teachers for this stuff

- dan815

and patricKJMT and khanacademy ofcourse

- anonymous

oh yeah i think i've heard of some of them! i think i will use them a bit more, feel like we havent been taught anything

- anonymous

our teachers just gave us printed off notes and read through them with us

- dan815

haha

- dan815

i remember those highschool days...!! just wait till u get to university.. u will know all these ppl i mentioned

- dan815

almost everyone in university knows them

- dan815

from all over the world xD

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