A force `F=a+bx` acts on a particle in x-direction, where a and b are constants. Find the work done by this force during the displacement from `x_1` to `x_2`.

Explanation

To find the work done by the force \( F = a + bx \) during the displacement from \( x_1 \) to \( x_2 \), we can follow these steps:

### Step 1: Understand the Work Done Formula
The work done \( W \) by a variable force along a straight path is given by the integral of the force over the displacement:
\[ W = \int_{x_1}^{x_2} F(x) \, dx \]

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