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welshfella
 one year ago
Integrate 1 / (x^10 + x)
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welshfella
 one year ago
Integrate 1 / (x^10 + x) 1

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.2I'm not sure about the best way to approach this one.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2partial fractions does n't help

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1multiply top and bottom by \(x^{10}\) : \[\int \dfrac{x^{10}}{1+x^{9}}\,dx\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1next step is obvious sub \(u = 1+x^{9}\)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2so its 1/9 ln (1 + x^9)?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2integration is an art...

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1definitely almost every integration problem requires guessing and makes mathematicians feel humble of the fact that we can't integrate everything into an elementary function ;)
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