Evaluate .

Answer and explanation

Correct answer: D. 128

  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
128.
Why not the others: 96 miscalculates the power rule integration or evaluation limits; 192 miscalculates the power rule integration or evaluation limits; 48 miscalculates the power rule integration or evaluation limits.

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