Chapter 12, Problem 4RQ

The initial rate for a reaction is equal to the slope of the tangent line at t ≈ 0 in a plot of [A] versus time. From calculus, initial rate = $\frac{-d\left[\text{A}\right]}{dt}$ . Therefore. the differential rate law for a reaction is Rate = $\frac{-d\left[\text{A}\right]}{dt}=k{\left[\text{A}\right]}^n$.

Assuming you have some calculus in your background, derive the zero-, first-, and second-order integrated rate laws using the differential rate law.