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#1 2010-03-28 09:39:01

Izmael
Member
Registered: 2010-03-28
Posts: 4

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

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#2 2010-03-28 10:32:51

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Integral challenge for masters


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2010-03-29 09:45:36

Izmael
Member
Registered: 2010-03-28
Posts: 4

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

.

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#4 2010-03-29 22:45:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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