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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)/(3sec x+tanx)^(2)]+c`

B

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

C

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

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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