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Using the substitution x -> pi/2 - x, the integral of sin x/(sin x + cos x) over [0, pi/2] works out to

Api/2
B1
Cpi/4
Dpi/8
Answer & Solution
Correct answer: C. pi/4
Using x -> pi/2 - x gives a companion integral with cos x on top; the two add to pi/2, so each is pi/4.
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