Integrals · Special Integrals
Average Value of a Function
The average value of f on [a, b] is the integral divided by the interval length.
- 2 variables
- 2 worked examples
- 19 in Integrals
Variables
| Symbol | Name | Unit |
|---|---|---|
| a | Lower bound | - |
| b | Upper bound | - |
Worked examples
Find the average value of f(x) = x² on [0, 3].
- f_avg = (1/3) ∫₀³ x² dx = (1/3)[x³/3]₀³ = (1/3)(9) = 3
Answer: 3
1 more worked examplePremium
Find the average value of f(x) = sin x on [0, π].
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Practice
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