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logarithm question need a slight help
Attachment 26244this i tried to integrate by u substitution U=e^x+1 and then U-1/U after this i get U-lnU i dont know what do can anyone hint or help me solving it
Re: logarithm question need a slight help
Your substitution is good:
giving us:

Can you proceed from here?
Incidentally, the given answer is not quite correct.
By the way, I would post integration problems in the calculus forum.
Re: logarithm question need a slight help
not really u changed the question while i took it from a very reliable source
Re: logarithm question need a slight help
Quote:
Originally Posted by
abdulrehmanshah
not really u changed the question while i took it from a very reliable source
This is what you posted: } \right|}\nolimits_{x = 0}^{x = 1} )
And the give answer is wrong.
Re: logarithm question need a slight help
Quote:
Originally Posted by
abdulrehmanshah
not really u changed the question while i took it from a very reliable source
![\int_0^1 \frac{e^x}{e^x+1} \, dx = \left[\ln(e^x+1)\right]_0^1 = \ln(e+1) - \ln(2) = \ln\left(\frac{e+1}{2}\right)](http://latex.codecogs.com/png.latex?\int_0^1 \frac{e^x}{e^x+1} \, dx = \left[\ln(e^x+1)\right]_0^1 = \ln(e+1) - \ln(2) = \ln\left(\frac{e+1}{2}\right))
I agree with MarkFL2. I'd check that "source" again if I were you ...
Re: logarithm question need a slight help
ok the answer can be wrong but how can u change the limits provided by question can anyone help solving
Re: logarithm question need a slight help
Re: logarithm question need a slight help
this is the correct answer and as stated by my book so what is that is wrong about this question
Re: logarithm question need a slight help
Quote:
Originally Posted by
abdulrehmanshah
this is the correct answer and as stated by my book so what is that is wrong about this question
LOOK at your "answer" again ...
http://mathhelpforum.com/attachments...lp-1111111.jpg
Re: logarithm question need a slight help
where did the e^x in the numerator go i know that lnu= 1/u but where did e^x go?
Re: logarithm question need a slight help
Quote:
Originally Posted by
abdulrehmanshah
this is the correct answer and as stated by my book so what is that is wrong about this question
I don't know what your book gave but you posted the answer as
. Since this is a definite integral there should be no "x" in the answer. The correct answer is, as skeeter said, )
Re: logarithm question need a slight help
ya i wrote it wrongly my bad the answer u got is the answer i have in the back of my note book can u please explain e^x part
Re: logarithm question need a slight help