What is \int {(\cos x)^{1.5}-(\sin x)^{1.5}}/\sqrt{\sin x \cdot \cos x} d x equal to? [NDA II 2022]

Correct Answer is : 2√sinx+2√cosx+c

2 \sqrt{\sin x}+2 \sqrt{\cos x}+c

\frac{1}{2} \sqrt{\sin x}+\frac{1}{2} \sqrt{\cos x}+c