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anonymous
 5 years ago
How do you integrate ((x^2)x)/((x1)^4)
anonymous
 5 years ago
How do you integrate ((x^2)x)/((x1)^4)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[(x^2  x)/(x1)^4\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you want to integrate this?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the numerator can be viewed as \[(x^2x) = x*(x1)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so \[( x*(x1) )/ ((x1)^4) \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now use substitution: \[u = x 1, x = u + 1, du=dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now you go from trying to find the integral of \[\int\limits_{}^{}(x^2  x) / (x1)^4 dx\] to \[\int\limits_{}^{} (u+1)/u^3 du\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so this one is easier, integrate this, then use the substitution relationship you established earlier and convert your solution to one in terms of x
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