Evaluate the definite integral: .

Answer and explanation

Correct answer: B.

  1. Step 1: Find the antiderivative using the power rule: .
  2. Step 2: Apply the Fundamental Theorem of Calculus on : .
  3. Step 3: Substitute : .
  4. Step 4: Substitute : .
  5. Step 5: Subtract: .
Answer
.
Why not the others: '18' subtracts 9 from 27 without adding the final ; '27' evaluates only; '24' evaluates .

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Evaluate the definite… | AP (Advanced Placement) Integration