The work done by the force:

$\overline{){\mathbf{W}}{\mathbf{=}}{{\mathbf{\int}}}_{{\mathbf{x}}_{\mathbf{1}}}^{{\mathbf{x}}_{\mathbf{2}}}{\mathbf{F}}{\mathbf{\left(}}{\mathbf{x}}{\mathbf{\right)}}{\mathbf{d}}{\mathbf{x}}}$

A particle is subject to a force *F*_{x} that varies with position as shown in Figure P7.15. Find the work done by the force on the particle as it moves (a) from *x* = 0 to *x* = 5.00 m, (b) from *x* = 5.00 m to *x* = 10.0 m, and (c) from *x* = 10.0 m to *x* = 15.0 m. (d) What is the total work done by the force over the distance *x* = 0 to *x* = 15.0 m?

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