Integrating the first order rate law

[kasse]

-d[A]/dt = k[A]

- Int( d[A]/[A]) = Int (k dt)

- ( ln[A] + ln[A₀] ) = kt

ln[A] = -kt - ln[A₀]


Where am I wrong?

 

[epenguin]

- ( ln[A] - ln[A0] ) = kt

 

[kasse]

Why "-"?

 

[DavidWhitbeck]

It's always final - initial when doing integrals i.e.

$$F(b) - F(a) = \int_{a}^{b} f(x) dx$$

and not +.