A particle moves along the X-axis from `x=0 to x=5m` under the influence of a force given by `F=(7-2x+3x^(2)).` Find the work done in the process.

Explanation

To find the work done by the force \( F = 7 - 2x + 3x^2 \) as a particle moves from \( x = 0 \) to \( x = 5 \, m \), we will use the work integral formula since the force is not constant. The work done \( W \) is given by:

\[ W = \int_{x_1}^{x_2} F \, dx \]

### Step-by-Step Solution:

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