Evaluate .

Answer and explanation

Correct answer: D.

  1. Step 1: Substitute , .
  2. Step 2: When , ; when , .
  3. Step 3: Integral: .
Answer
.
Why not the others: uses an incorrect power exponent of 1; evaluates without dividing by the new exponent 3; and incorrectly multiplies by 2.

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Evaluate int 1 e (( ln… | AP (Advanced Placement) Integration