Applications of Integrals · Work & Force
Work (General)
Work done by a variable force F(x) over a displacement from a to b.
- 2 variables
- 2 worked examples
- 14 in Applications of Integrals
Variables
| Symbol | Name | Unit |
|---|---|---|
| a | Start position | m |
| b | End position | m |
Worked examples
Find the work done by F(x) = 3x² N over [0, 2] m.
- W = ∫₀² 3x² dx = [x³]₀² = 8 J
Answer: 8 J
1 more worked examplePremium
Find the work done by F(x) = 1/x² N moving an object from x = 1 m to x = 4 m.
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Practice
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