Struggling with an Integral Involving Natural Logarithms?

[kennis2]

(edited need help) hard integral to me but you?

I tried much but i couldn't resolve..
Integral of (1+ln(x))/xln(x) dx
thanks =)

 

[arildno]

Hint:
What is
\frac{d}{dx}(xlnx)=?

 

[kennis2]

its 1/x right?

 

[arildno]

No, you must use the product rule:
\frac{d}{dx}(xln(x))=1*ln(x)+x*\frac{1}{x}=ln(x)+1
What does that tell you?

 

[kennis2]

oh you are right!
I know the answer then, BUT
I WROTE MY EXERCISE BAD SORRY HERE GO AGAIN
integral of (sqrt(1+ln(x)))/xln(x) dx

 

[GCT]

Does this pertain to finding the arc length of a function? Also, try writing it out in latex, you'll probably get more responses.

 

[stunner5000pt]

is this the question??

\frac{\sqrt{1+\ln x}}{x \ln x} dx?

in which case substitute ln x = u and solve away!