welshfella
  • welshfella
Integrate 1 / (x^10 + x) 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
I'm not sure about the best way to approach this one.
welshfella
  • welshfella
partial fractions does n't help
ganeshie8
  • ganeshie8
multiply top and bottom by \(x^{-10}\) : \[\int \dfrac{x^{-10}}{1+x^{-9}}\,dx\]

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welshfella
  • welshfella
ah!!!
ganeshie8
  • ganeshie8
next step is obvious sub \(u = 1+x^{-9}\)
welshfella
  • welshfella
so its -1/9 ln (1 + x^-9)?
ganeshie8
  • ganeshie8
looks good !
welshfella
  • welshfella
thank you
ganeshie8
  • ganeshie8
np
welshfella
  • welshfella
integration is an art...
ganeshie8
  • ganeshie8
definitely almost every integration problem requires guessing and makes mathematicians feel humble of the fact that we can't integrate everything into an elementary function ;)
welshfella
  • welshfella
too true

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