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If I=int(sqrt(cotx)-sqrt(tanx))dx, then ...

If `I=int(sqrt(cotx)-sqrt(tanx))dx`, then I equals

A

`sqrt(2)log(sqrt(tanx)-sqrt(cotx))+C`

B

`sqrt(2)log|sinx+cosx+sqrt(sin2x)|+C`

C

`sqrt(2)log|sinx-cosx+sqrt(2)sinxcosx|+C`

D

`sqrt(2)log|sin(x+pi//4)+sqrt(2)sinxcosx|+C`

Text Solution

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The correct Answer is:
B
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