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Q. Multiplying Fractions Involving Negative Numbers?
Ans.
If you have only one negative sign, the result is still negative:
If you have more than one, just remember: two negatives make a positive.
What about 3 negative signs? Two of them make a positive, and the other one remains. So the answer is negative:
What about lots of negative signs? If there are an even number of them, they will all cancel out. If there are an odd number, one of them will be left over, so your answer will be negative.
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∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c Detailed derivation of ∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx = ∫(cosec 2 x
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