A force `F = p+qx` acts on a particle in the X - direction , where p and q are constants . If the particle is displaced from x = a to x = b , find the work done by the force .

Explanation

To find the work done by the force \( F = p + qx \) on a particle as it moves from \( x = a \) to \( x = b \), we can follow these steps:

### Step 1: Understand the Work Done Formula
The work done \( W \) by a force when a particle moves from position \( a \) to position \( b \) is given by the integral of the force over the displacement:
\[ W = \int_{a}^{b} F \, dx \]

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