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
- W = ∫₀² 3x² dx = [x³]₀² = 8 J
Answer: 8 J
1 more worked examplePremium
Step-by-step solution locked.
See all 14 Applications of Integrals formulas on one printable sheet - the same statements and conditions as these pages, typeset and laid out for paper.
Common questions
What is the Work (General)?
Work done by a variable force F(x) over a displacement from a to b. It is one of the applications of integrals formulas in the CalcRef reference.
What do the symbols in the Work (General) mean?
In the Work (General), a is the start position (m); b is the end position (m).
How do you use the Work (General)?
Worked example. Find the work done by F(x) = 3x² N over [0, 2] m. W = ∫₀² 3x² dx = [x³]₀² = 8 J. Answer: 8 J.
Practice
Quiz yourself on Applications of Integrals
Work (General) is one of 14 Applications of Integrals formulas in CalcRef, out of 136 in the library. Today's free round is 10 mixed multiple-choice questions drawn from the same dataset as this page, refreshed every day and replayable as often as you like - no account needed.