How would you integrate 5 ln (x^2 -1) dx?

Question

I'm acutlaly working on a practice test before my test tomorrow. I need to integrate 5 ln (x^2 -1) dx by parts but I seem to be missing the answer repeatedly. Help with this one would be greatly appreciated!

Answer 1

Write the above thing like this

.

Integrate this by parts

Let .

It is in the form .

Apply the formula

Use the formula

If .

If .

.

The solution of is

             ( If )

             (If )

Answer 2

step by step solution