How to solve
The average value spreads the integral evenly: f_avg = (1/(b−a)) ∫ f dx.
Steps
- Integrate f over [a, b].
- Divide by the interval length b − a.
- These drills are built to come out exact.
Example
Average value of 3x² on [0, 2].
- ∫₀² 3x² dx = x³ |₀² = 8.
- 8 ÷ 2 = 4.
Answer: 4
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