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For n ge 2, If I(n) =int sec^(n) xdx," t...

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

A

`sec^(2) x tan x+c`

B

`(1)/(3) sec^(2) x tan x+c`

C

`(2)/(3) sec^(2) x tan x+c`

D

`(1)/(2) log |sec x+ tan x|+c`

Text Solution

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The correct Answer is:
B
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