Match List-I with List-II

[c is an arbitrary constant]

List-I List-II
(A) $\int \frac{\sin^2 x - \cos^2 x}{\sin^2 x \cos^2 x}\,dx$ (I) $\tan x - x + c$
(B) $\int \frac{\sec^2 x}{\text{cosec}^2 x}\,dx$ (II) $2\tan x - 3\sec x + c$
(C) $\int \sec x(\sec x + \tan x)\,dx$ (III) $\tan x + \cot x + c$
(D) $\int \frac{2-3\sin x}{\cos^2 x}\,dx$ (IV) $\tan x + \sec x + c$

Choose the correct answer from the options given below:

Question

Accepted Answer

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

Answer

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

Answer

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

Answer

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

List-I	List-II
(A) $\int \frac{\sin^2 x - \cos^2 x}{\sin^2 x \cos^2 x}\,dx$	(I) $\tan x - x + c$
(B) $\int \frac{\sec^2 x}{\text{cosec}^2 x}\,dx$	(II) $2\tan x - 3\sec x + c$
(C) $\int \sec x(\sec x + \tan x)\,dx$	(III) $\tan x + \cot x + c$
(D) $\int \frac{2-3\sin x}{\cos^2 x}\,dx$	(IV) $\tan x + \sec x + c$

Solution