How would you do integral (cosx/(ln(x+1))dx?

Question

anonymous · Answer

Just for anyone else, the integral is:

$$\int\limits \frac{ \cos x }{ \ln(x+1) } dx$$

jennychan12 · Answer

$$\int\limits \frac{ \cos x }{ \ln(x+1) }dx$$

anonymous · Answer

Moving onto actually solving it.

jennychan12 · Answer

-_- i'm too slow
just fyi, no trig sub or integration by parts

zepdrix · Answer

Hmm then how are you suppose to approach this one?
Wolfram didn't come up with a solution.

Does this involve Power Series or something? :o

anonymous · Answer

@zepdrix, it is possible, let me figure it out.

anonymous · Answer

But do you know?

zepdrix · Answer

@Zelda , please erase your previous comment, and don't talk so vulgar on here... :(

zepdrix · Answer

No I don't know how to do this one I'm afraid :c

anonymous · Answer

Sorry, just got frustrated, noticed that 3/4ths in.

anonymous · Answer

I'm fairly certain there's no closed form solution.

anonymous · Answer

It's actually possible. But requires a power series. @jennychan12, is that okay? Using a power series?

jennychan12 · Answer

what is that? sorry. i'm not good with names. but i think i learned it? is it the same as power rule or something like that?

anonymous · Answer

No, not a power rule. http://en.wikipedia.org/wiki/Power_series BTW, what level calc are you in?

jennychan12 · Answer

calc Ab

anonymous · Answer

So I'm assuming you haven't learned the taylor series then?

jennychan12 · Answer

no... -_-
what. my teacher gave me ANOTHER BC question. er...something i haven't learned yet. 
*sigh*
my teacher should really make her own practice tests...

anonymous · Answer

Yea, she did. Would you still like to know how? Also, this actually goes into Calc III a bit, not even BC fully explores series.

anonymous · Answer

Not sure, but I highly doubt it has an elementary anti-derivative.

jennychan12 · Answer

uhh. i would, but i have a quiz on monday and i don't wanna learn new stuff that my teacher hasn't really taught yet.

anonymous · Answer

@wio, it actually doesn't. You need a power series to integrate it.

anonymous · Answer

@jennychan12, in that case I won't go over it. Just say it's impossible since it has no elementary anti-derivative

jennychan12 · Answer

ok
haha ok.

jennychan12 · Answer

thanks for your help tho! @Zelda  :)

anonymous · Answer

@jennychan12, no prob. If you want it done later I can show you how.

jennychan12 · Answer

nahh, not now. my brain might explode.
haha :/