The current in a wire varies with time according to the equation `I = 4 +2 t.` where I is in ampere and t is in second. Calculate the quantity of charge that passes through a cross section of the wire during the tiem t = 2s, to t=6s.

Explanation

To calculate the quantity of charge that passes through a cross-section of the wire during the time interval from \( t = 2 \, \text{s} \) to \( t = 6 \, \text{s} \), we can follow these steps:

### Step 1: Understand the relationship between current and charge
The current \( I \) is defined as the rate of flow of charge. Mathematically, this is expressed as:
\[ I = \frac{dq}{dt} \]
Where \( dq \) is the differential charge and \( dt \) is the differential time.
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