How do i integrate x.dx.Z/(x²+Z²)^3/2
#Basic Integral Question Which Probably Won't Take Your 5 Seconds
dusty pendant
lilac mortarBOT
How do i integrate x.dx.Z/(x²+Z²)^3/2
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dusty pendant
Simply this
dawn dragon
Take u = x^2 + z^2.
dusty pendant
Take u = x^2 + z^2.
Well I'm not really advanced in this topic what comes next
dawn dragon
Well I'm not really advanced in this topic what comes next
It becomes an elementary integral after that.
dusty pendant
What does dx.x.Z become
dawn dragon
What does dx.x.Z become
Well, z is a constant, so we can just take it out of the integral.
If u = x^2 + z^2, what is du?
lyric zephyrBOT
Akash!
dawn dragon
2x.dx
Yes. So, xdx = (1/2)du.
The rest is easy.
Don't forget to change the limits of integration.
dusty pendant
du/2(u)^3/2
fathom island
use latex @dawn dragon
dusty pendant
Thank you
dawn dragon
use latex <@290136354233384960>
Don't want to.
dusty pendant
I'm having physics 2 class without having calculus 1
fathom island
u may close using
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dawn dragon
I'm having physics 2 class without having calculus 1
Yeah, unfortunately, that is quite common.
Physics lessons often use things from math that you haven't learned before.
dawn dragon
I agree!
dusty pendant
How come when you change variables d parts become something meaningful everytime?
dawn dragon
How come when you change variables d parts become something meaningful everytime...
That only happens when you perform a good substitution.
dawn dragon
Yeah, I figured it was something like that.
fathom island
which stream r u in
dusty pendant
What do you mean by stream
dawn dragon
This is the actual problem
Oh, interesting way to do it.
fathom island
oh
dusty pendant
Oh, interesting way to do it.
How would you do it
dawn dragon
How would you do it
Hm, one sec, let me try. Not sure if I remember enough how to do this.
dusty pendant
Electric field magnitude is kq/d²
fathom island
Have anyone of the two understood what charge, current, etc is
because a meme says one average it may take 10yrs
dusty pendant
Charge is measured by the difference between protons and electrons on an atom
fathom island
ok, but why charge? what significance it carries
dusty pendant
If an atom doesn't have same amount of both, it means the atom is CHARGED
dusty pendant
ok, but why charge? what significance it carries
It's all about difference between energy
You want an electron, I want to give you an electron
Something interesting happens
fathom island
Yea, but my mind goes to ionisation enthalpy
dusty pendant
Well I do not have the enough knowledge on this topic to help you, sorry
dawn dragon
How would you do it
Sorry for taking so long, haven't done this in a while. Like this.
dusty pendant
I feel you it took me 50 mins
dawn dragon
Well, it took us both a while, just for different reasons 😅
dusty pendant
I didn't really understand the dEr part
dawn dragon
I didn't really understand the dEr part
Er will be zero because of symmetry.
dusty pendant
Oh you mean Electric field on r axis
dawn dragon
Yes.
dusty pendant
can't say i understood this notation too (where -costeta and -sinteta is)
Sorry if I bore you with my ignorance
dawn dragon
can't say i understood this notation too (where -costeta and -sinteta is)
We have dE = (kq/|r|^2)e(dE), where e(dE) is its unit vector.
You can see from the picture that this unit vector is what's in the picture.
dusty pendant
What is your major
dawn dragon
Chemistry.
dusty pendant
Wow good luck