A force `F = alpha +beta x ` acts on a particle of mass m along the X . Axis . Here `alpha and beta ` are constants . Find the work done by this force when particle moves form x = 0 to x = d .

Explanation

To find the work done by the force \( F = \alpha + \beta x \) on a particle of mass \( m \) as it moves from \( x = 0 \) to \( x = d \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Work Done**:
The work done \( W \) by a force \( F \) when a particle moves through a displacement \( dx \) is given by:
\[
dW = F \, dx
...