Integration of natural log problem

  • Thread starter kill00
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  • #1
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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:

Answers and Replies

  • #2
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Post deleted.
 
  • #3
gb7nash
Homework Helper
805
1

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.
 
  • #4
8
0
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.
 
  • #5
gb7nash
Homework Helper
805
1
No problemo
 

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