Consider a variable force `F=(3x+5)N` acting on a body and if it is displaced from `x=2m` to `x=4m`, calculate the work done by this force.

Explanation

To calculate the work done by the variable force \( F = (3x + 5) \, \text{N} \) as the body moves from \( x = 2 \, \text{m} \) to \( x = 4 \, \text{m} \), we can 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. The formula is:
\[ W = \int_{x_1}^{x_2} F \, dx \]
where \( F \) is the force and \( x_1 \) and \( x_2 \) are the initial and final positions, respectively.
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