anonymous
  • anonymous
How do I integrate: 1/(x/((1+z^2)*(x^2+y^2)) ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
with respect to what?
anonymous
  • anonymous
With respect to x
anonymous
  • anonymous
could you please rewrite the equation :))

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anonymous
  • anonymous
make sure the parenthesis are properly placed
anonymous
  • anonymous
do you mean 1/(x/((1+z^2)*(x^2+y^2)))?
anonymous
  • anonymous
|dw:1333061204533:dw|
anonymous
  • anonymous
i dont know if this makes more sense
anonymous
  • anonymous
1/2(x^2y^2+x^2y^2z^2
anonymous
  • anonymous
1/2(x^2y^2+x^2y^2z^2) is the answer
anonymous
  • anonymous
|dw:1333061310601:dw|Actually I have:
anonymous
  • anonymous
And I need to integrate these
anonymous
  • anonymous
I need to solve y in the end
anonymous
  • anonymous
ah so you need to find y?
anonymous
  • anonymous
yes by integrating both sides
anonymous
  • anonymous
ok
anonymous
  • anonymous
|dw:1333061643249:dw|
anonymous
  • anonymous
Like that
anonymous
  • anonymous
ok
anonymous
  • anonymous
let's take one step at a time
anonymous
  • anonymous
that is a bit wild equation
anonymous
  • anonymous
yes okay
anonymous
  • anonymous
so lets first rewrite those in a form which is easy to integrate
anonymous
  • anonymous
|dw:1333061937739:dw|
Zarkon
  • Zarkon
the \(1+z^2\) is just a constant with respect to \(x\) so factor it out of the integral
anonymous
  • anonymous
I want to make my life harder
Zarkon
  • Zarkon
ah...good for you ;)
anonymous
  • anonymous
heheh
anonymous
  • anonymous
ok so following zarkon's tip,:)) we could have|dw:1333062282584:dw|
anonymous
  • anonymous
yeah
anonymous
  • anonymous
this is the integral of the left side of the equation
anonymous
  • anonymous
now using the same method on the right side, we'll arrive at it's integral which is |dw:1333062447305:dw|
anonymous
  • anonymous
now well have a much easier equation to work with which is
anonymous
  • anonymous
|dw:1333062572228:dw|
anonymous
  • anonymous
I follow what you do upto this point
anonymous
  • anonymous
I believe you can now solve for y
anonymous
  • anonymous
or should I?
anonymous
  • anonymous
You should :D
anonymous
  • anonymous
:))
anonymous
  • anonymous
could I ask first what grade are you in?
anonymous
  • anonymous
or school level perhaps
anonymous
  • anonymous
This is embarassing but Im actually a first year pharmacy student in Denmark.
anonymous
  • anonymous
lol :))
anonymous
  • anonymous
I follow Calculus which is complete irrelevant for my education
anonymous
  • anonymous
you get a hang of it I'm sure
anonymous
  • anonymous
chemistry is my thing :D
anonymous
  • anonymous
not math
anonymous
  • anonymous
I think we're quite the opposite :))
anonymous
  • anonymous
I suck at chemistry but I love math :))
anonymous
  • anonymous
But I like physics
anonymous
  • anonymous
Heheh yes we are the opposite, Im going to marry a guy that knows his math for the sake of my children in the futurehaha
anonymous
  • anonymous
ah so your a she?
anonymous
  • anonymous
Yeah Im a she :D
anonymous
  • anonymous
borgerkrig sounds manly to me :))
anonymous
  • anonymous
Heheh it is very manly, it means civil war in Danish
anonymous
  • anonymous
ahh
anonymous
  • anonymous
what is math in denmark? :))
anonymous
  • anonymous
Matematik :D
anonymous
  • anonymous
Are you a math teacher?
anonymous
  • anonymous
nope. I'm a studet also
anonymous
  • anonymous
I hope you are not younger than me, because then I will feel very very embarrased
anonymous
  • anonymous
I'm 15 :))
anonymous
  • anonymous
thats is NOT true?
anonymous
  • anonymous
I just became 15
anonymous
  • anonymous
promise
anonymous
  • anonymous
What? And
anonymous
  • anonymous
you know about integration?
anonymous
  • anonymous
yah
anonymous
  • anonymous
and other stuffs
anonymous
  • anonymous
where are yo from? because here we learn about integration in the last year of high school
anonymous
  • anonymous
there;s even this triple integrals
anonymous
  • anonymous
I'm an asian
anonymous
  • anonymous
of korean blood
anonymous
  • anonymous
I just started having about triple integrals, that is insane
anonymous
  • anonymous
hahaha.
anonymous
  • anonymous
Ohhhh Asian of course!!
anonymous
  • anonymous
just wait till you get to vector calculus
anonymous
  • anonymous
:))
anonymous
  • anonymous
no thanks after this course Im never going to touch math again
anonymous
  • anonymous
sounds like math has not been so nice to you :))
anonymous
  • anonymous
I used to be good when nit was not on such a high level
anonymous
  • anonymous
well you might be able to help me someday. I'm planning to take petroleum engineering which has some chemistry on in
anonymous
  • anonymous
you wou
anonymous
  • anonymous
you wou
anonymous
  • anonymous
you would be welcome, I think it is beautiful that you are already determined
anonymous
  • anonymous
They raise you well in Asia....here teenagers have no life too spoiled
anonymous
  • anonymous
They raise you well in Asia....here teenagers have no life too spoiled
anonymous
  • anonymous
yeah but what I really want is to get PhD in mathematics. But my father said I'd be a beggar by the end of the term
anonymous
  • anonymous
not all :D
anonymous
  • anonymous
hahah y
anonymous
  • anonymous
I mean not all teenagers there are spoiled.
anonymous
  • anonymous
I think they've just not realized what real life is
anonymous
  • anonymous
You might be right:)
anonymous
  • anonymous
Actually I've been wanting to travel places in Europe
anonymous
  • anonymous
Almost all great mathematicians come from that place
anonymous
  • anonymous
What does Europe look like?
anonymous
  • anonymous
yeah that is right, but you dont have that many anymorehehe
anonymous
  • anonymous
Europe is like you see it in tv basically, I dont like it because I dont feel that there is a certain culture here
anonymous
  • anonymous
all the west is alike
anonymous
  • anonymous
if you come to denmark and tell people that you know what a triple integral is you will be seen as a genious
anonymous
  • anonymous
lol. I really don't want to think of myself as that
anonymous
  • anonymous
hehe that is good because then you will not be arrogant
anonymous
  • anonymous
I more of a passionately curious person
anonymous
  • anonymous
we dont have many asians here
anonymous
  • anonymous
we dont have many asians here
anonymous
  • anonymous
we dont have many asians here
anonymous
  • anonymous
Hope I'll be the first one
anonymous
  • anonymous
heheehly smart one seriously I am still amazed that you are only 15!!!
anonymous
  • anonymous
sorry if I ever shocked you that much. :))
anonymous
  • anonymous
my parents are actually irritated of how I focus on math too much
anonymous
  • anonymous
hehehe it's a good schock because you will be the the future figuring things out about this world
anonymous
  • anonymous
imortant things
anonymous
  • anonymous
I like that a lot haha
anonymous
  • anonymous
I think you should do what you like to do
anonymous
  • anonymous
I tend to hyperfocus if I do
anonymous
  • anonymous
i dont think it's bad, but you have to have a social life too that is when you are a healthy smart human being
anonymous
  • anonymous
i dont think it's bad, but you have to have a social life too that is when you are a healthy smart human being
anonymous
  • anonymous
there was even a time that when I was studying mathematics, I didn't notice that I was already studying for 6 hours
anonymous
  • anonymous
Have you heard of William Sidis
anonymous
  • anonymous
Nope
anonymous
  • anonymous
he's this american genius guy
anonymous
  • anonymous
at age of 10 he was already studying in Harvard
anonymous
  • anonymous
wow
anonymous
  • anonymous
has an IQ between 250-300. But in the end he became a lowly worker
anonymous
  • anonymous
because he was emotionally and socially poor
anonymous
  • anonymous
It doesn't really matter how intelligent you are. You should have big dreams too. and Remember to chase them always.
anonymous
  • anonymous
i hope the asians
anonymous
  • anonymous
true :)
anonymous
  • anonymous
thank you for your help :)
anonymous
  • anonymous
sure anytime :))
anonymous
  • anonymous
btw, you need algebra only from then on
anonymous
  • anonymous
and take note the c on the left side might not be the same as the c on the other side
anonymous
  • anonymous
since the constant of integration could vary
anonymous
  • anonymous
i wil juse a calculator heh
anonymous
  • anonymous
good luck!
anonymous
  • anonymous
It was nice to talk with you for one hour :))
anonymous
  • anonymous
If you need any help again, feel free to ask
anonymous
  • anonymous
already one hour! thank you a lot you will be great one day :)
anonymous
  • anonymous
already one hour! thank you a lot you will be great one day :)

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