Definite IntegrationHard
Question
The value of 
[√3 tanx] dx (where [.] denotes the greatest integer function.) is
[√3 tanx] dx (where [.] denotes the greatest integer function.) isOptions
A.
B.
C.
D.none of these
Solution
0 < x < 
so 0 < tan x < √3
0 < √3 tan x < 3
so we have to break the integral at all integral points
i.e. at √3 tanx = 1 i.e. x = π/6
and √3 tan x = 2 i.e. x = tan-1
as the function is discontinous
so I =
- tan-1 (2/√3)
so 0 < tan x < √3
0 < √3 tan x < 3
so we have to break the integral at all integral points
i.e. at √3 tanx = 1 i.e. x = π/6
and √3 tan x = 2 i.e. x = tan-1
as the function is discontinousso I =
- tan-1 (2/√3)Create a free account to view solution
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