Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
dx = F(x), then find the value of [F(a) – F(0)], where [.] represents greatest integer function
Text Solution
Verified by ExpertsThe correct answer is:
0
(0)
Sol. 
dx = 
dx = 
tan –1 
+ C
∴ F(x) = 
tan –1 
+ C
∴ F(a) – F(0) = 
= 
tan –1 
∴ 0 < F(a) – F(0) < 
. 
< 1
∴ [F(a) – F(0)] = 0
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