alleryBy the Fundamental Theorem of Calculus, ∫_0^2 (3x² + 2x) dx equals:
A$12$ (using F(x) = x³ + x²)
B$6$ (only first term, missing)
C$14$ (incorrect anti-derivative)
D$10$ (missing constant)
Answer & Solution
Correct answer: A. $12$ (using F(x) = x³ + x²)
F(x) = x³ + x².
F(2) − F(0) = (8 + 4) − 0 = 12. Always evaluate at upper limit minus lower.
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