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int( sqrt(tan x) + sqrt(cot x) ) dx =...

`int( sqrt(tan x) + sqrt(cot x) ) dx = `

A

`sqrt(2)sin^(-1) (sin x + cos x) + c `

B

`sqrt(2) cos^(-1) (sin x + cos x) + c `

C

`sqrt(2) cos^(-1) (sin x - cos x) + c `

D

`sqrt(2) sin^(-1) (sin x - cos x) + c `

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The correct Answer is:
D
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