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`

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

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

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

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

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The integral int(sec^(2)x)/((secx+tanx)^(9//2))dx equals (for some arbitrary constant 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`

`-(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`

`x+secx+tanx`

`2(secx+tanx)-x`

`2(secx-tanx)+x`

`-log|secx+tanx|+c`

`log|secx+tanx|+c`

`-log|log(secx+tanx)|+c`

`log|log(secx+tanx)|+c`