If force `F=(2x+3x^(2))N` is applied on a particle along x = axis, then find the work done by it during motion of particle from x = 0 to x = 2 m.

Explanation

To find the work done by the force \( F = (2x + 3x^2) \, \text{N} \) on a particle moving from \( x = 0 \) to \( x = 2 \, \text{m} \), we can follow these steps:

### Step 1: Write the expression for work done
The work done \( W \) by a force when moving an object along a path is given by the integral of the force over the distance moved. Mathematically, this is expressed as:
\[ W = \int_{x_1}^{x_2} F \, dx \]
where \( F \) is the force and \( x_1 \) and \( x_2 \) are the initial and final positions.
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