anonymous
  • anonymous
Integrate:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[(x+(1/x))^x\]
ganeshie8
  • ganeshie8
may i know the context/source of this problem ?
anonymous
  • anonymous
a friend gave it to me

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welshfella
  • welshfella
i entered this on wolframalpha and this is what i got:- http://www.wolframalpha.com/input/?i=integrate+%28x+%2B+%281%2Fx%29%5Ex++dx
Loser66
  • Loser66
@welshfella you put the wrong problem on wolfram. It is \( (x+(1/x))^x\)
misty1212
  • misty1212
\[f(x)=\left(x+\frac{1}{x}\right)^x\]?
anonymous
  • anonymous
Yea
misty1212
  • misty1212
and you want an "anti -derivative"?
misty1212
  • misty1212
the chances that you can find the closed form for this anti derivative seem very very small to me
mathmate
  • mathmate
@saumyawardhan1 Do you expect a closed form solution? If you have a particular problem to solve, you can consider power series expansion or numerical integration.
anonymous
  • anonymous
The problem is of indefinite integral and the answer is in closed form.
Loser66
  • Loser66
Can you post the answer? It can help us tracing back to the way to get it.
anonymous
  • anonymous
You'll generally have a bad time trying to find a closed form for an antiderivative of \(f(x)^x\) if \(f\) is nonconstant.

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