Question

Evaluate the following integral :-
$\int tan ^{ - 1} \sqrt{ \frac{ 1 - sin \: x}{1 + sin \: x} } \: dx$
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

I=∫tan−11+sinx1−sinxdx

=∫tan−11+2sin2xcos2x1+2sin2xcox2xdx     [∵sin2x=2sinxcosx]

=∫tan−1cos22x+sin22x+2sin2xcos2

Step-by-step explanation:

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