Evaluate the integral: .

Answer and explanation

Correct answer: C.

  1. Step 1: Recognize the standard inverse trigonometric form: .
  2. Step 2: Write . Let , so .
  3. Step 3: Substitute: .
Answer
.
Why not the others: The option omits the coefficient from ; the option divides by 9 instead of 3; the option multiplies by 3 instead of dividing.

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Evaluate the integral… | AP (Advanced Placement) Integration