Match List - I with List - II

List - I	List - II
(A) \(\int \frac{d x}{a^2-x^2}\)	(I) \(\frac{1}{2 a} \log \left|\frac{x-a}{x+a}\right|+C\)
(B) \(\int \frac{d x}{x^2-a^2}\)	(II) \(\frac{1}{2 a} \log \left|\frac{a+x}{a-x}\right|+C\)
(C) \(\int \frac{d x}{x^2+a^2}\)	(III) \(\sin ^{-1}\left(\frac{x}{a}\right)+C\)
(D) \(\int \frac{d x}{\sqrt{a^2-x^2}}\)	(IV) \(\frac{1}{a} \tan ^{-1} \frac{x}{a}+C\)

Choose the correct answer from the options given below:

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