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Try u substitution. What would you guess? What would you let u be?

u = 1+e^6?

Good guess, go for it.

Do you mean 1+e^x?

yes, thats what I meant, sorry

Okay, I'll try that. Thank you so much~!

Lokisan~ You're amazing~! Thank you~!

haha, thank you :) Umm, what's your book thinking?

It's in the answer section, no explanation.

Are you sure the + sign in the denominator should be there?

Yeah, it says +

I get\[-\frac{e^{-u}}{e^{-u}-1}\] if I make the substitution,\[e^u = 1+e^x\]

I'm looking at it. to see what you did. One minute

I don't get it. what did you do?

^^

Got it. So may the book distributed the negative sign at the bottom?

Maybe...that's assuming my guess for the book's substitution is correct.

Good job brilliant. Where did you learn these little tricks?

advanced degree in mathematics

Hoo, hoo. One day I will be up there.

Good! I'm off. Enjoy your book ;p