Mathematics Integral Calculus Indefinite Integrals

\(\rm\displaystyle\int_0^{\frac{\pi}{2}} \frac{\cos ^2 x}{\sin x+\cos x}\) dx = _______

1
\(\frac{1}{2 \sqrt{2}} \ln |3+2 \sqrt{2}|\)
2
\(\frac{1}{2 \sqrt{2}} \ln |1+ \sqrt{2}|\)log (√2 + 1)
3
log (1 + 2√2)
4
log (3 − 2√2)

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