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int ((sqrt(tanx))/(sinx cosx))dx...

`int ((sqrt(tanx))/(sinx cosx))dx`

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`int(sqrt(tanx))/(sinx cosx)dx=int(sqrt(tanx)(1)/("cos"^(2)x))/((sinx cosx)/("cos"^(2)x))dx`
`=int(sqrt(tanx)sec^(2)x)/(tanx)dx=int(tan x)^(-1//2)sec^(2)x dx`
`=((tan x)^(1//2))/(1//2)+C=2 sqrt(tanx)+C`
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