Work Done by Variable Force

Work Done by Variable Force

### Formula

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

### Terminologies

- F(x) → Force dependent on position.

- dx → Small displacement.

- x₁, x₂ → Initial and final positions.

### Conditions / Special Cases

Work is equal to area under force-displacement graph:

$$W=\text{Area under F-x graph}$$

### Usage

- Used when force changes with displacement.