Evaluate the integral: .

Answer and explanation

Correct answer: D.

  1. Step 1: Use substitution: let , so and .
  2. Step 2: Rewrite the integrand: .
  3. Step 3: Integrate term by term: .
  4. Step 4: Back-substitute : .
Answer
.
Why not the others: The option omits the term; the option omits the term; the option in powers of substitutes instead of .

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