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anonymous

  • one year ago

Integrate:

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  1. anonymous
    • one year ago
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    \[(x+(1/x))^x\]

  2. ganeshie8
    • one year ago
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    may i know the context/source of this problem ?

  3. anonymous
    • one year ago
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    a friend gave it to me

  4. welshfella
    • one year ago
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    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

  5. Loser66
    • one year ago
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    @welshfella you put the wrong problem on wolfram. It is \( (x+(1/x))^x\)

  6. misty1212
    • one year ago
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    \[f(x)=\left(x+\frac{1}{x}\right)^x\]?

  7. anonymous
    • one year ago
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    Yea

  8. misty1212
    • one year ago
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    and you want an "anti -derivative"?

  9. misty1212
    • one year ago
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    the chances that you can find the closed form for this anti derivative seem very very small to me

  10. mathmate
    • one year ago
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    @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.

  11. anonymous
    • one year ago
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    The problem is of indefinite integral and the answer is in closed form.

  12. Loser66
    • one year ago
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    Can you post the answer? It can help us tracing back to the way to get it.

  13. anonymous
    • one year ago
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    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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