Find dimensional formula:
(i) `(dx)/(dt)` (ii) `m(d^(2)x)/(dt^(2))` (iii) `int vdt` (iv) `int adt`
where `x rarr` displacement, `t rarr` time, `v rarr` velocity and `a rarr` acceleration

Explanation

To find the dimensional formulas for the given expressions, we will analyze each part step by step.

### (i) Find the dimensional formula for \( \frac{dx}{dt} \)

1. **Identify the quantities**:
- \( dx \) represents a change in displacement \( x \), which has the dimension of length \( [L] \).
- \( dt \) represents a change in time \( t \), which has the dimension of time \( [T] \).

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