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The integral int (sec^(2) x)/((sec x+tan...

The integral `int (sec^(2) x)/((sec x+tan x)^(9//2))dx` equals : (for some arbitrary constant k)

A

`-(1)/((secx+tanx)^(11/2)){(1)/(11)-(1)/(7)(secx+tanx)^(2)}+k`

B

`(1)/((secx+tanx)^(11//2)){(1)/(11)-(1)/(7)(secx+tanx)^(2)}+k`

C

`-(1)/((secx+tanx)^(11//2)){(1)/(11)-(1)/(7)(secx+tanx)^(2)}+k`.

D

`-(1)/((sec x+tanx)^(11//2)){(1)/(11)+(1)/(7)(secx+tanx)^(2)}+k`.

Text Solution

Verified by Experts

The correct Answer is:
D
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