Evaluate the definite integral of f(x) = 3x^2 from x = 1 to x = 4.
Answer and explanation
Correct answer: B. 63
- Step 1: Anti-derivative of 3x^2 is x^3. By Fundamental Theorem of Calculus: integral_1^4 3x^2 dx = [x^3]_1^4. Step 2. Evaluate upper and lower limits: 4^3 - 1^3 = 64 - 1 = 63. Answer: 63. Why not the others: Omitting the lower limit subtraction gives 64.
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