Derivation

Explanation

### Step-by-Step Solution for Deriving the Integrated Rate Law for First Order Reactions

**Step 1: Define the Reaction**
Consider a first-order reaction where a reactant A is converted into products. The reaction can be represented as:
\[ A \rightarrow \text{Products} \]

**Step 2: Write the Rate Expression**
For a first-order reaction, the rate of the reaction is directly proportional to the concentration of the reactant A:
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