1. ## About Work: Moving Particle

A force of 12 x2+12 x pounds acts along the x-axis to the right on a particle when it is located a distance x feet to the right of the origin. How much work is done in moving it from x=1 to x=15?

2. Originally Posted by shannon1111
A force of 12 x2+12 x pounds acts along the x-axis to the right on a particle when it is located a distance x feet to the right of the origin. How much work is done in moving it from x=1 to x=15?
work done by a variable force ...

$W = \int_{x_1}^{x_2} F(x) \, dx$