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The integral int(sec^2x)/((secx+tanx)^(9...

The integral `int(sec^2x)/((secx+tanx)^(9/2))dx` equals (for some arbitrary constant `K)dot` `-1/((secx+tanx)^((11)/2)){1/(11)-1/7(secx+tanx)^2}+K` `1/((secx+tanx)^(1/(11))){1/(11)-1/7(secx+tanx)^2}+K` `-1/((secx+tanx)^((11)/2)){1/(11)+1/7(secx+tanx)^2}+K` `1/((secx+tanx)^((11)/2)){1/(11)+1/7(secx+tanx)^2}+K`

A

` ( -1)/ ((secx + tan x )^(11//2) { (1)/(11) - (1)/(7) (sec x + tan x ) ^2 } + K `

B

`(1)/((sec x + tan x ) ^(11//2)) { (1)/(11) - (1)/(7) (sec x + tan x ) ^2 } + K `

C

` ( - 1 )/((sec x + tan x ) ^(11//2)) { (1)/(11) + (1)/(7) (sec x + tan x ) ^2 } + K `

D

` (1)/((secx + tan x ) ^(11//2)) { (1)/(11) + (1)/(7) (secx + tan x ) ^2 } + K`

Text Solution

Verified by Experts

The correct Answer is:
C
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