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A classic result gives the integral of log of sin x over the first quadrant as

A−π ln 2
B(π/2) ln 2
C−(π/2) ln 2
Dπ ln 2
Answer & Solution
Correct answer: C. −(π/2) ln 2
This standard result follows from adding the integral to its copy under x → π/2 − x, giving −(π/2) ln 2.
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