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Given that a + b = 4 on [1, 3], find the integral of root x/(root x + root(4 - x)).

A1
B3/2
C2
D1/2
Answer & Solution
Correct answer: A. 1
Since a + b = 4, replacing x by 4 - x gives a mirror integrand and the sum is 1, so the value is (3 - 1)/2 = 1.
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