Match List-I with List-II

LIST I

LIST II

A.

\(\int_{0}^{\frac{\pi}{2}} \frac{\sin ^{4} x}{\sin ^{4} x+\cos ^{4} x} d x\)

I.

0

B.

\(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{1}{1+\sqrt{\tan x}} d x\)

II.

1

C.

\( I = \int_{0}^{1} x e^x \,dx \)

III.

\(\frac{\pi}{12}\)

D.

\(\int_{-1}^{1} x^{109} \cos ^{88} x d x\)

IV.

\(\frac{\pi}{4}\)

Choose the correct answer from the options given below:

1
(A) - (IV), (B) - (III). (C) - (I), (D) - (II) 
2
(A) - (IV), (B) - (III), (C) - (II), (D) - (I) 
3
(A) - (III), (B) - (IV), (C) - (II), (D) - (I)
4
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

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