What will be the integrated rate expression of zero order reaction?

Integrated Rate Expression of Zero Order Reaction:
Consider the general reaction:
A —————-> products
If it is a reaction of zero order then,
Rate = -d [A] / dt = k [A] ⁰ = k
d [A] = – k dt
Integrating both sides, we will get:
[A] = – kt + I
Where I is a constant of integration
At, t = 0, [A] = [A] ₀
Therefore, [A] ₀ = I
Substituting this value of I in equation 1, we will get:
[A] = -kt + [A] ₀
kt = [A] ₀ – [A]
k = 1 / t ([A] ₀ – [A])
Hence the Integrated Rate Expression of Zero Order Reaction is 1 / t ([A] ₀ – [A])