# Integration of natural log problem

kill00

## Homework Statement

what is the integral of ln(e2x-1) dx

2. The attempt at a solution
I got
u= ln(e2x-1)
du = 2e2x-1 \ e2x-1
du = 2 dx

1/2(integral of u du)

1/2 ln (e2x-1 ) +c

=
1/4 [ln (e2x-1 )]2 + c

Could you please let me know if this is correct? I dont know how to integrate ln

thanks again

Last edited:

kill00
Post deleted.

Homework Helper

## Homework Statement

what is the integral of ln(e2x-1) dx

2. The attempt at a solution
I got
u= ln(e2x-1)
du = 2e2x-1 \ e2x-1
du = 2 dx

1/2(integral of u du)

1/2 ln (e2x-1 ) +c

=
1/4 [ln (e2x-1 )]2 + c

Could you please let me know if this is correct? I dont know how to integrate ln

thanks again

It might make your life a whole lot easier if you use the property that ln(ab) = b lna, and ln e = 1.

kill00
WOW, I seriously need to get some sleep if I couldn't think of that. I was studying for a physics test all night yesterday.

Thanks alot gb7nash really appreciate it.

Homework Helper
No problemo