Evaluate the integral of (3x^2+3x) dx from x = 0 to x = 2.
Answer and explanation
Correct answer: C. 14
- Step 1: Find the antiderivative: x^3+3/2x^2.
- Step 2: Evaluate it at 2 and subtract its value at 0 (which is 0).
- Step 3: Result: 14.
Answer
14.
Why not the others: '18' evaluates the integrand at the upper limit instead of integrating; '16' adds the upper limit to the antiderivative value; '36' integrates but forgets to divide by the new exponents 3 and 2.
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