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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2010-03-29 08:39:01

Izmael
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Integral challenge for masters

Hi,

this integral was introduced as a problem in qualification round for regional olympiad. It took me an hour to solve. Can you solve it too?



I'm looking for your suggestions,
Izmael

 

#2 2010-03-29 09:32:51

bobbym
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Re: Integral challenge for masters


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2010-03-30 08:45:36

Izmael
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Re: Integral challenge for masters

Can't find any benefit on your answer. I know, there exist many same solutions on the internet for this problem. It should be a challenge. So you can bring new inovative approach to solve this.

Your third link is not correct. There's a function sin(ln(x)), which is a bit different.

My approach was about using the exponential

.

 

#4 2010-03-30 21:45:08

bobbym
Administrator

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Re: Integral challenge for masters

Izmael wrote:

Can't find any benefit on your answer.

Then you already knew all those ways? As you know my German is not good. But I thought they were Wunderbar!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

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