Let the instantaneous velocity of a rocket, just after launching, be given by the expression `v=2t+3t^2` (where v is in `ms^-1` and `t` is in seconds). Find out the distance travelled by the rocket from `t=2s` to `t=3s`.

Explanation

To find the distance traveled by the rocket from \( t = 2 \, \text{s} \) to \( t = 3 \, \text{s} \), we will follow these steps:

### Step 1: Write down the expression for instantaneous velocity
The instantaneous velocity \( v \) of the rocket is given by:
\[ v = 2t + 3t^2 \]

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