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Which of the following is/are true for t...

Which of the following is/are true for the function `f(x)= int _(0) ^(x) ("cost")/(t ) dt (x gt 0)` ?

A

f (x) is monotonically increasing in `((4n -1) , (pi)/(2), (4n+1)(pi)/(2))AA n in N`

B

f (x) has a local minima at `x = (4n-1) (pi)/(2) AA n in N`

C

The point of infection of the curve `y = f (x)` lie on the curve `x tan x+1 =0`

D

Number of critiacal points of `y =f (x)` in `(0,10pi)` are 19

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