Challenging Integration (1 Viewer)

[Grizzly]

I basically thought of a "hypotethical" integration question...
Yes, i do this in my spare time

# ln(x)Tan^-1(x)


Im not sure if this has been asked, discussed previously, just wondering how it is solved?


I know by "parts" is the first step.

 

[Rahul]

this is probably a weird one.

you cant integrate one and derive the other.

 

[freaking_out]

why don't u try working out the integral of lnx (or arctan(x)) and then carry out integration by parts, and keeping in mind the fact, which ur gonna assign dv, i.e the one with the simplest out of two u worked out bfore.

 

[Newbie]

well the integrator cant do it .,....
or maybe i typed it wrong =/

 

[Newbie]

gah forgot it was case sensitive =/

 

[Grizzly]

Wow crap
Thats werid using that integrating thing.

Like, what the hell is the "1/4 Polylog [ 2, x^2 ]" doing on the end :O

 

[Kent_Cadarn]

you're right, the first step is int. by parts but after that, even knowing the int. of arctan its messy and you'll be int. by parts for a while