Question

integral of (x)Ln(x)/(sqrtx^2-1)

Answer 1

i think im gonna try integration by parts

Answer 2

anyone there?

Answer 3

\[\large \int\limits \frac{x \ln x}{\sqrt{x^2-1}}dx \qquad=\qquad \frac{1}{2}\int\limits \ln x \left(\frac{2x}{\sqrt{x^2-1}}dx\right)\]

Yah by parts sounds correct.
I grouped this a little strange so you can easily see your u and dv.
Lemme know if that's still a bit confusing.

Answer 4

Oh woops I didn't need to add the 1/2 and 2 .. my mistake..
got my derivatives mixed up.

\[\large \int\limits\limits \frac{x \ln x}{\sqrt{x^2-1}}dx \qquad=\qquad \int\limits\limits \ln x \left(\frac{x}{\sqrt{x^2-1}}dx\right)\]

Answer 5

i figured it out. I had to use integration by parts