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int (sec^(2)x)/((sec x+ tan x)^(5))dx=...

`int (sec^(2)x)/((sec x+ tan x)^(5))dx=`

A

`(1)/(4(sec x + tan x)^(4)) [ (1)/(2) - (1)/(3(sec x + tan x )^(2)) ] + C`

B

`(-1)/(4(sec x + tan x)^(4)) [ (1)/(2) + (1)/(3(sec x + tan x )^(2)) ] + C`

C

`(-1)/(4(sec x + tan x)^(4)) [ (1)/(3) + (1)/(3(sec x - tan x )^(2)) ] + C`

D

`(1)/(4(sec x + tan x)^(4)) [ (1)/(3) - (1)/(3(sec x - tan x )^(2)) ] + C`

Text Solution

Verified by Experts

The correct Answer is:
B
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