Evaluate .

Answer and explanation

Correct answer: B. 54

  1. Step 1: Use the power rule of integration : .
  2. Step 2: Evaluate at the integration limits and : .
  3. Step 3: Simplify the fraction to obtain the definite integral: .
Answer
54.
Why not the others: The remaining options (60, 162, 81) stem from differentiating instead of integrating, omitting integration constants, or misapplying standard integration formulas.

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