Match List-I with List-II

Choose the correct answer from the options given  below :

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

The correct answer is Option (2) → (A)-(II), (B)-(I), (C)-(IV), (D)-(III)

(A) $∫\frac{dx}{a^2-x^2}⇒\frac{1}{2a}\log\left|\frac{a+x}{a-x}\right|+C$ (II)

(B) $∫\frac{dx}{x^2-a^2}⇒\frac{1}{2a}\log\left|\frac{x-a}{x+a}\right|+C$ (I)

(C) $∫\frac{dx}{x^2+a^2}⇒\frac{1}{a}\tan^{-1}\frac{x}{a}+C$ (IV)

(D) $∫\frac{dx}{\sqrt{a^2-x^2}}⇒\sin^{-1}\frac{x}{a}+C$ (III)