Integration

For discussing Olympiad Level Algebra (and Inequality) problems
Tahsin24
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Integration

Unread post by Tahsin24 » Thu Apr 14, 2011 10:28 am

Is this solvable with intermediate calculus?
$ \int x^{x} dx $

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*Mahi*
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Re: Integration

Unread post by *Mahi* » Sun Apr 17, 2011 12:17 am

Please try putting $x=e^a$ ,then it will be $\int e^{ae^a} dx$
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Tahsin24
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Re: Integration

Unread post by Tahsin24 » Sun Apr 17, 2011 2:08 pm

If you have solved, please post a full solution so that we can discuss about it.

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*Mahi*
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Re: Integration

Unread post by *Mahi* » Tue Apr 19, 2011 9:10 am

I just came up with some ideas, so I shared it............
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Tahsin24
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Re: Integration

Unread post by Tahsin24 » Tue Apr 19, 2011 5:35 pm

It's ok. actually I also tried it to solve using $ ln $ but could'nt progress after some point

Tahsin24
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Re: Integration

Unread post by Tahsin24 » Tue May 10, 2011 6:18 pm

I came to know this is a nonelementary function which does not have any antiderivatve....

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