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int sqrt(1+2tan x(tan x+sec x))...

int sqrt(1+2tan x(tan x+sec x))

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int {(1+2 tan x(tan x + sec x))^(1//2) dx is equal to

int (1+2) tan x(tan x+ sec x)}^(1//2) dx=

int {1+2 tan x (tan x + sec x )}^(1//2) dx=?

int {1+2 tan x (tan x + sec x )}^(1//2) dx=?

int{1+2tan x(tan x+sec x)}^((1)/(2))dx

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int sqrt(tan x) sec^(2) x dx =

sqrt(2)sec x+tan x=1