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:
Answer & explanation
Correct answer: option 3
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) $\log|cosec\,x- \cot x|+c$ |