Very Hard Integration Question (1 Viewer)

[rheyn]

I couldn't get this integration question out. Anyone want to step up to the plate and prove their man/womanhood:

 

[Drongoski]

Where have you been mining these questions to . . . . ??

 

[Trebla]

Is f just a general function?

 

[Top Secret]

Is f just a general function?

Yes

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That looks like one heck of a question.

I was thinking maybe integration by parts would apply here?

Integral of lnx/x is 0.5 (lnx)^2.

And differentiation of f(x+1/x) should just be f ' (x+1/x) ?

 

[untouchablecuz]

if you let u=1/x, you end up with the same integral

can we use this somehow?

EDIT: am I mathematically allowed to do this? if so, what now :]

 

[Trebla]

.....

 

[shaon0]

I couldn't get this integration question out. Anyone want to step up to the plate and prove their man/womanhood:

hmm...i was asked exactly the same question today. May i ask where you got this from?

 

[rheyn]

hmm...i was asked exactly the same question today. May i ask where you got this from?

That's most probably because I was the one who asked you this.

 

[shaon0]

That's most probably because I was the one who asked you this.

lol, I remember now. I might start working on it again.
So far:
I=(0.25) S [ln(u-1)/(u-1)] f(u) du
= (0.25) S [ln(v)/v].f(v+1) dv

 

[untouchablecuz]

EUREKA

i got it!

the integral of the (Lnx/x)f(x+1/x) is





























































































Q(X)+C

where Q(x) is the primitive of (Lnx/x)f(x+1/x)

 

[tommykins]

hhahahah i smiled