Let for . What is ?
Answer and explanation
Correct answer: B.
- Step 1: Apply the Leibniz integral rule: .
- Step 2: Evaluate the derivatives of the integration limits: and , giving .
- Step 3: Substitute : .
Answer
.
Why not the others: Other values fail to apply the chain rule to the upper integration limit or forget to subtract the lower bound evaluation according to the Leibniz rule.
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