What is ?

Answer and explanation

Correct answer: A.

Step 3. Evaluate between and : at , ; at , . The result is .
  1. Step 1: Use the trigonometric identity to split the integrand: .
  2. Step 2: Integrate each part: and , giving antiderivative .
Answer
.
Why not the others: Other values omit the integration of after using the identity , or make boundary evaluation sign errors.

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