Evaluate the definite integral .
Answer and explanation
Correct answer: D. \pi^2 / 4
- Step 1: Let . Apply King's property : .
- Step 2: Add both integral representations: . Substitute with ; limits shift from to .
- Step 3: Evaluate the substitution integral: .
Answer
\pi^2 / 4.
Why not the others: The remaining options (\pi^2 / 2, \pi / 4, \pi^2) stem from differentiating instead of integrating, omitting integration constants, or misapplying standard integration formulas.
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