Integration of natural log problem

[kill00]

Homework Statement

what is the integral of ln(e^2x-1) dx

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

1/2(integral of u du)

1/2 ln (e^2x-1 ) +c

=
1/4 [ln (e^2x-1 )]² + c

Could you please let me know if this is correct? I don't know how to integrate ln

thanks again

 

[kill00]

Post deleted.

 

[gb7nash]

Homework Statement

what is the integral of ln(e^2x-1) dx

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

1/2(integral of u du)

1/2 ln (e^2x-1 ) +c

=
1/4 [ln (e^2x-1 )]² + c

Could you please let me know if this is correct? I don't know how to integrate ln

thanks again

It might make your life a whole lot easier if you use the property that ln(a^b) = 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 a lot gb7nash really appreciate it.

 

[gb7nash]

No problemo