Evaluate .

Answer and explanation

Correct answer: A. 40

  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
40.
Why not the others: 80 miscalculates the power rule integration or evaluation limits; 20 miscalculates the power rule integration or evaluation limits; 5 miscalculates the power rule integration or evaluation limits.

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