appleduardo
  • appleduardo
whats the integral for dx/x^3 ?
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
The integral? Do you mean the anti-derivative? Remember that \(1/x^3 = x^{-3}\) and \[ \int x^n dx = \frac{x^{n+1}}{n+1}+C,\quad n\ne-1 \]
appleduardo
  • appleduardo
so i'll get: x^-3 and then: \[\frac{ x ^{-2} }{ -2 } \] is that ok?
anonymous
  • anonymous
That is okay, but so is \[ \frac{x^{-2}}{-2}+1 \]as well. So you're excluding a possible anti-derivative out. That's mean you know.

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anonymous
  • anonymous
Why won't you give \[ \frac{x^{-2}}{-2}-60 \]a chance either? \(-60\) has a family to feed as well.
anonymous
  • anonymous
@appleduardo ?
appleduardo
  • appleduardo
u mean that i forgot to write aside " + c " :$
anonymous
  • anonymous
Yeah.
appleduardo
  • appleduardo
:p thank you ! :d

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