If f(x) is continuous and ∫₀ˣ f(t) dt = x² + 2x, then f(2) equals:
If f(x) is continuous and ∫₀ˣ f(t) dt = x² + 2x, then f(2) equals:
- A. 4
- B. 6
- C. 8
- D. 2
Answer: B) 6
Explanation: By FTC, differentiating both sides: f(x) = 2x + 2. So f(2) = 4 + 2 = 6.
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