Can some Intergrate xcsc^2 x by parts? (1 Viewer)

[Mathematician]

Can some Intergrate xcsc^2 x by parts?

- Someone can

 

[Mathematician]

Okay I solved it..

First delete my other post about prove xyz= a^3 + b ^3 , ive posted too much in it.

In that topic i asked Integrate xcsc^2 x partially. I meant for to ask it in new topic.

Anyway i solved it.
I rearanged d/dx(u/v) = (u'v - v'u)v^2 = 1/v * u' - u/v^2 * v'

when u integrate both sides and rearrange u get

[u/v^2 * v'] dx = [1/v * u' dx] - u/v

I used this for integrate csx^2 x

where v= sinx , u= 1/cosx

U get Integral of csc^2 x = -cotx

Haha : I realised i already knew that lol.

Then u Use Integration by parts normally for xcsc^2 x


So no need to integrate it. I've done it.

 

[bobo123]

what does the c's and s's mean?

 

[Mathematician]

...

Sorry i wasnt clear cscx = cosecx

 

[KeypadSDM]

So the integral is:

-x * Cot[x] + ln[Sinx] + c

?