## appleduardo one year ago whats the integral for dx/x^3 ?

1. wio

The integral? Do you mean the anti-derivative? Remember that $$1/x^3 = x^{-3}$$ and $\int x^n dx = \frac{x^{n+1}}{n+1}+C,\quad n\ne-1$

2. appleduardo

so i'll get: x^-3 and then: $\frac{ x ^{-2} }{ -2 }$ is that ok?

3. wio

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.

4. wio

Why won't you give $\frac{x^{-2}}{-2}-60$a chance either? $$-60$$ has a family to feed as well.

5. wio

@appleduardo ?

6. appleduardo

u mean that i forgot to write aside " + c " :\$

7. wio

Yeah.

8. appleduardo

:p thank you ! :d