Derive integrated rated equation for rate constant of a first order reaction.

Explanation

To derive the integrated rate equation for the rate constant of a first-order reaction, we will follow these steps:

### Step-by-Step Solution

1. **Define the Reaction**:
For a first-order reaction, the rate of reaction can be expressed as:
\[
\text{Rate} = -\frac{d[A]}{dt} = k[A]
...