Match List I with List II:

List I List II

A. \(\int\limits_0^{\frac{π }{2}} {\frac{{\sin 2x}}{{{{\sin }^4}x + {{\cos }^4}x}}dx} \) I. \(\frac{π }{4}\)

B. \(\int\limits_0^{\frac{π }{2}} {\frac{{\sin x}}{{\sin x + \cos x}}dx} \) II. π

C. \(\int\limits_0^{2π } {\frac{1}{{1 + {e^{\sin x}}}}dx} \) III. \(\frac{π }{{12}}\)

D. \(\int\limits_0^{\frac{π }{2}} {\frac{1}{{9{{\sin }^2}x + 4{{\cos }^2}x}}dx} \) IV. \(\frac{π }{2}\)

Choose the correct answer from the options given below:

Question

List I	List II
A. \(\int\limits_0^{\frac{π }{2}} {\frac{{\sin 2x}}{{{{\sin }^4}x + {{\cos }^4}x}}dx} \)	I. \(\frac{π }{4}\)
B. \(\int\limits_0^{\frac{π }{2}} {\frac{{\sin x}}{{\sin x + \cos x}}dx} \)	II. π
C. \(\int\limits_0^{2π } {\frac{1}{{1 + {e^{\sin x}}}}dx} \)	III. \(\frac{π }{{12}}\)
D. \(\int\limits_0^{\frac{π }{2}} {\frac{1}{{9{{\sin }^2}x + 4{{\cos }^2}x}}dx} \)	IV. \(\frac{π }{2}\)