A particle moves along x-axis from `x=0` to `x=2` m under the influence of a force F (in N) given by `F=3x^(2)+2x-5.` Calculate the work done

Explanation

To calculate the work done by the force \( F = 3x^2 + 2x - 5 \) as a particle moves from \( x = 0 \) m to \( x = 2 \) m, we will follow these steps:

### Step 1: Understand the Work Done Formula
The work done \( W \) by a variable force \( F \) when moving from position \( x_1 \) to \( x_2 \) is given by the integral of the force with respect to displacement:
\[ W = \int_{x_1}^{x_2} F \, dx \]

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