Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Consider the following statements
S 1 : The antiderivative of every even function is an odd function.
S 2 : Primitive of 
w.r.t. x is 
+ C.
S 3 : 
dx = 
+ C.
S 4 : The value of 
dx is equal to – 2 
+ C
State, in order, whether S 1 , S 2 , S 3 , S 4 are true or false
Text Solution
Verified by ExpertsThe correct answer is:
A
S 1 : Obvious
S 2 : If primitive of 
is 
+ C, then derivative of 
+ C must be 
Now
Let f(x) = 
+ C
⇒ f ′ (x) = 
= 
Hence given statement is false.
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