" 9.(i) "sec^(n)x

" 9."int sec^(2)(x/2)dx=?

If n(ne 1) in N and I_(n) =int sec^(n)x dx then (n-1) I_(n)-(n-2)I_(n-2) =

Statement-I: int sec^(n) " x dx " = (sec^(n-2) "x tanx")/(n -1) + (n -2)/(n -1) I_(n-2) Statement- II : int sec^(3) " xdx " = (sec x " " tanx )/(2) + (1)/(2) log | sec x - tan x | + k Which of the following is true ?

For n ge 2 , If I_(n) =int sec^(n) xdx," then "I_(4) -(2)/(3) I_(2) =

Choose the correct option.Justify your choice (i) 9sec^(2)A-9tan^(2)A

Find the domain of (i) sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

Evaluate: int sec^(n)x tan xdx

(i) ∫Sec^3x

(i) cot x (ii) sec x

If I_(n)=int_(0)^((pi)/(4))sec^(n)dx then I_(10)-(8)/(9)I_(8)=