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Applying the property that replaces x with π/2 − x, find the integral of sin x over (sin x + cos x) between 0 and π/2.
Aπ/2
B1
Cπ/4
D1/2
Answer & Solution
Correct answer: C. π/4
Replacing x by π/2 − x gives a companion integral with cos x on top, and the two add up to π/2, so each is π/4.
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