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Calculus › Using definite integrals › work

work

Using definite integrals

The concept of work is defined as the total energy transferred to or from an object via a force acting upon it. When an object is moved in the positive direction along an axis, the work done is calculated by integrating the force over the distance the object is displaced.

W=abF(x)dx

Conditions and Properties

The total work done on an object moving along an axis is determined by integrating the force applied over the distance traveled.

Applications

In the applications of work, the concept is fundamental in physics, where work is defined as the product of force and distance. This principle is used to calculate the amount of energy transferred when a force is applied over a distance, with the unit of work depending on the system of measurement employed.

Notes & references