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 can follow these steps:

### Step 1: Write the Rate Law
For a first-order reaction, the rate of the reaction can be expressed as:
\[ \text{Rate} = k[A] \]
where \( k \) is the rate constant and \( [A] \) is the concentration of the reactant.
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