\[\int_{0}^{\pi /4}{\frac{dx}{{{\cos }^{4}}x-{{\cos }^{2}}x{{\sin }^{2}}x+{{\sin }^{4}}x}=}\]

• A.                 \[\frac{\pi }{2}\]              
• B.                 \[\frac{\pi }{4}\]
• C.                 \[\frac{\pi }{3}\]              
• D.                 None of these