Match List – I with List – II. LIST I LIST II  A. $\int \sin x \cos x d x$   I. $\log _e\left(1+\sin ^2 x\right)+C$   B. $\int \frac{d x}{\sin ^2 \cos ^2 x}$   II. $\tan \frac{x}{2}+C$   C. $\int \frac{\sin  2x}{1+\sin ^2 x} d x$   III. $-\frac{1}{4} \cos 2 x+C$  D. $\int(1-\cos x) cosec^2 x d x$   IV. $\tan x-\cot x+C$ Choose the correct answer from the options given below:

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

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

The correct answer is Option (1) → A-III, B-IV, C-I, D-II