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

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

Text Solution

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`I=int(sqrt(cotx)-sqrt(tanx))dx`
= ∫ `(cosx−sinx)/sqrt(cosxsinx)` dx
Substitute sinx + cosx=t
⇒2sinxcosx=`t^2`−1
...
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