What is the correct way to find the indefinite integral of e^(6x)/(e^(6x)+6)?

[Zvaigzdute]

Hi I have to find the indefinete integral of

e^(6x)/(e^(6x)+6)*dx

And I get

1/6*(ln(e^6x+6)) +C

What am I doing wrong?

Thank you

 

[arildno]

Why do you think it has gone awry?

 

[Zvaigzdute]

All of my calculus homework is submitted online to Web assign, and the website says that this is wrong. I cannot see where I may have made a mistake, and I was wondering if somebody could point it out, and show me how to get to the right answer

 

[df508462]

Perhaps the online answer is looking for an absolute value of the quantity (e^6x + 6) in the argument of the ln in your answer?

You are justified in removing the absolute value, since
(e^6x + 6) > 0 for all real x.

 

[arildno]

All of my calculus homework is submitted online to Web assign, and the website says that this is wrong. I cannot see where I may have made a mistake, and I was wondering if somebody could point it out, and show me how to get to the right answer

1. Is the conventional Web Assign code for the undetermined constant "C"?

2. Sometimes, "log" is used as denoting "ln", since Briggsian logarithms are beyond moribund.

 

[g_edgar]

(1) Do you have to write * for multiply on that web interface? If so, your answer does not qualify.

(2) If you write e^6x it probably means (e^6)*x, and that is certainly wrong.