Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

Match List-I with List-II (where c is an arbitrary constant)

List-I

List-II

(A) $\int \tan x\, dx$

(I) $\log|\sec x+ \tan x| + c$

(B) $\int \cot x\, dx$

(II) $\log|\sec x|+c$

(C) $\int \sec x\, dx$

(III) $\log|\sin x| + c$

(D) $\int\, cosec\, x\, dx$

(IV) $\log|cosec\,x- \cot x|+c$

Choose the correct answer from the options given below:

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (3) → (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

List-I

List-II

(A) $\int \tan x\, dx$

(II) $\log|\sec x|+c$

(B) $\int \cot x\, dx$

(III) $\log|\sin x| + c$

(C) $\int \sec x\, dx$

(I) $\log|\sec x+ \tan x| + c$

(D) $\int\, cosec\, x\, dx$

(IV) $\log|cosec\,x- \cot x|+c$