Question

whats the integral for dx/x^3 ?

Answer 1

The integral?
Do you mean the anti-derivative?

Remember that \(1/x^3 = x^{-3}\) and \[
\int x^n dx = \frac{x^{n+1}}{n+1}+C,\quad n\ne-1
\]

Answer 2

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

Answer 3

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.

Answer 4

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

Answer 5

@appleduardo ?

Answer 6

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

Answer 7

Yeah.

Answer 8

:p thank you ! :d