A force `F=(5+2x)` acts on a particle in x direction where F is in newtown and x is meter. Find the work done by this force during displacement from `x=0` to `x=1m.`

Explanation

To find the work done by the variable force \( F = (5 + 2x) \) during the displacement from \( x = 0 \) to \( x = 1 \) meter, we will follow these steps:

### Step 1: Understand the Work Done by a Variable Force
The work done \( W \) by a variable force can be calculated using the integral of the force over the displacement. Mathematically, this is expressed as:
\[ W = \int_{x_1}^{x_2} F \, dx \]
where \( F \) is the force and \( dx \) is the infinitesimal displacement.
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