Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
dx = p f(x) + q g(x) + C, then which of the following may be correct?
A
p = 1; q = 
; f(x) = x; g(x) = n 
; f(x) = x; g(x) = n
B
p = 1; q = − 
; f(x) = x; g(x) = n 
; f(x) = x; g(x) = n
C
p = 1; q = − 
; f(x) = x; g(x) = n 
; f(x) = x; g(x) = n
D
p = 1; q = − 
; f(x) = x; g(x) = n 
; f(x) = x; g(x) = n
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,d) Ι = 
dx = pf(x) + g(x) + C .......(i)
using tan 3x = 
and cot 3x = 
Ι = 
dx
Ι = 
dx = x – 2 
dx + C
= x – 
n 
+ C
= 1.x + 
n 
+ C
comparing with R.H.S. of equation (i), we get the result.
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