Evaluate the integral of (3x^2+2x) dx from x = 0 to x = 2.
Answer and explanation
Correct answer: D. 12
- Step 1: Find the antiderivative: x^3+x^2.
- Step 2: Evaluate it at 2 and subtract its value at 0 (which is 0).
- Step 3: Result: 12.
Answer
12.
Why not the others: '16' evaluates the integrand at the upper limit instead of integrating; '14' adds the upper limit to the antiderivative value; '32' integrates but forgets to divide by the new exponents 3 and 2.
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