If f(2a − x) = f(x), then ∫₀²ᵃ f(x) dx equals:
If f(2a − x) = f(x), then ∫₀²ᵃ f(x) dx equals:
- A. 2∫₀ᵃ f(x) dx
- B. 0
- C. ∫₀ᵃ f(x) dx
- D. a f(a)
Answer: A) 2∫₀ᵃ f(x) dx
Explanation: Property: If f(2a−x) = f(x), then ∫₀²ᵃ f(x) dx = 2 ∫₀ᵃ f(x) dx. This is a standard property.
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