anonymous
  • anonymous
How do i use my hyperbolic substitution in this integral?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1371048593605:dw|
anonymous
  • anonymous
i have a feeling cosh is involved here
anonymous
  • anonymous
x-2 = coshu?

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dan815
  • dan815
is that trig identity right?
dan815
  • dan815
|dw:1371048738161:dw|
anonymous
  • anonymous
yup :)
dan815
  • dan815
are u sure its not sinh - cosh right
anonymous
  • anonymous
1+sinh = cosh it has to be right ..i think
dan815
  • dan815
ok then
dan815
  • dan815
|dw:1371048804583:dw|
dan815
  • dan815
|dw:1371048938889:dw|
anonymous
  • anonymous
ah of course!! thank you!
dan815
  • dan815
now just convert dx into du
dan815
  • dan815
|dw:1371049026281:dw|
dan815
  • dan815
hold on did i make a mistake somewher -.- this simplfies too welll
dan815
  • dan815
|dw:1371049337350:dw|
dan815
  • dan815
ok there we go now its fixed
anonymous
  • anonymous
ah i was thinking that- isn't it 2 though?
dan815
  • dan815
where?
anonymous
  • anonymous
|dw:1371049444272:dw|
dan815
  • dan815
|dw:1371049432902:dw|
dan815
  • dan815
that is arccosh
dan815
  • dan815
oh hmm lemme chekc again i got root 2 from here
anonymous
  • anonymous
oh no sorry it is
dan815
  • dan815
|dw:1371049511977:dw|
anonymous
  • anonymous
i lost my root - ok i think im there...
anonymous
  • anonymous
ok got it!! thanks :) any idea why there's a root 2 at the beginning or is it just something to remember?
dan815
  • dan815
we solved it
anonymous
  • anonymous
:D you solved it
dan815
  • dan815
lol
dan815
  • dan815
|dw:1371049765979:dw|
dan815
  • dan815
we want this expression right from here|dw:1371049787270:dw|
dan815
  • dan815
so its gotta be root2 sothat when u square it will be 2
anonymous
  • anonymous
yup
dan815
  • dan815
|dw:1371049810220:dw|
dan815
  • dan815
|dw:1371049857808:dw|
dan815
  • dan815
and now u know everything
dan815
  • dan815
its just tweaking so u get the expression u can use
anonymous
  • 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
  • anonymous
which is just what you said :P
dan815
  • dan815
everything starts from this nice identity cosh^2-sinh^2=1 or other way i cant remember
dan815
  • dan815
frrom here we just tweak it
anonymous
  • 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
  • dan815
is this highschool?
anonymous
  • anonymous
further maths a level so yup
dan815
  • dan815
u are pretty smart for highschool kid
dan815
  • dan815
what is further maths a level
anonymous
  • anonymous
aw thanks :) i guess you're not from uk then? a levels are just before university
dan815
  • dan815
oh ok, yeah I am in Canada
anonymous
  • anonymous
ah cool :) and i'm really not, my exam is next week, gunna fail :P are u a teacher or anything?
dan815
  • dan815
no lol just a lowly university students xD
anonymous
  • anonymous
lol! what year of uni?
dan815
  • dan815
2nd year
anonymous
  • anonymous
so that makes u like 19?
anonymous
  • anonymous
ur pretty smart too!
dan815
  • dan815
lol well math is kinda grinded down into you for engineering
dan815
  • dan815
its the only course everyone does good in engineering.. everything else just drains you haha
dan815
  • 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
  • anonymous
oh dear :P i can imagine though, i'm gonna be doing just maths in uni, everything else drains me aswell
anonymous
  • anonymous
yeah it gets more interesting the higher you go really
dan815
  • 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
  • dan815
how do you get into university in UK.. do u need to write some "SAT" equivalent there
anonymous
  • anonymous
yeah thats a really good idea ! and you just need grades from 3 a level courses and a personal statement
dan815
  • dan815
oh cool
dan815
  • dan815
i watch some videos on youtube from this woman who taught at mit
dan815
  • dan815
not mit.. cambridge
dan815
  • dan815
shes a really good math teacher!
dan815
  • dan815
and u u can watch MIT math lectures on youtube.. those are really good too
dan815
  • dan815
theyre the best teachers, u shud watch em.. very hard to find good teachers for this stuff
dan815
  • dan815
and patricKJMT and khanacademy ofcourse
anonymous
  • 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
  • anonymous
our teachers just gave us printed off notes and read through them with us
dan815
  • dan815
haha
dan815
  • dan815
i remember those highschool days...!! just wait till u get to university.. u will know all these ppl i mentioned
dan815
  • dan815
almost everyone in university knows them
dan815
  • dan815
from all over the world xD

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