Evaluate .

Answer and explanation

Correct answer: B. 384

  1. Step 1: Integrate term by term using the rule .
  2. Step 2: The antiderivative evaluated between and is .
  3. Step 3: Substituting the upper limit and lower limit yields .
Answer
384.
Why not the others: 512 miscalculates the power rule integration or evaluation limits; 390 miscalculates the power rule integration or evaluation limits; 288 miscalculates the power rule integration or evaluation limits.

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