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Evaluate the integral of sin^4 x/(sin^4 x + cos^4 x) from x = 0 to x = pi/2.

A1
Bpi/4
Cpi/8
Dpi/2
Answer & Solution
Correct answer: B. pi/4
The mirror x -> pi/2 - x gives the complementary fraction, the two add to 1 over a length pi/2, so each is pi/4.
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