If and , what is ?

Answer and explanation

Correct answer: B.

  1. Step 1: Use integral additivity: .
  2. Step 2: Solve for : .
  3. Step 3: Now evaluate the target integral: .
  4. Step 4: Substitute: .
Answer
.
Why not the others: '10' forgets to integrate the term over ; '14' adds ; '5' is the value of without multiplying by 2 or adding .

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