\(\int_0^{\pi/2}\frac{\sin x}{\sin x+\cos x}\,dx=\)
A. \(\frac{\pi}{2}\)
B. \(\pi\)
C. \(\frac{\pi}{4}\)
D. 0
1 answer
Best answer
Answer: C. \(\frac{\pi}{4}\)
Using \(x\to\frac\pi2-x\), \(I=\int\frac{\cos x}{\sin x+\cos x}dx\); adding, \(2I=\frac\pi2\).
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· 23 Oct 2026
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