integral of 1/1-sinx exist in 0-180???
Assuming you mean 1/(1-sinx) and the domain is in degrees, the answer is no. It is easier to explain if you shift it 90 degrees and integrate 1/(1-cosx) from -90 to 90. Around 0 (when you use radians rather than degrees), (1-cosx) behaves like x2/2, therefore the integral blows up at this point.
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