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CBSE Class 12-science Answered

evaluate: Integration cosecx/(cosecx – cot x) dx explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 04:17: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator cosecx over denominator cosecx minus cotx end fraction dx
straight I equals integral fraction numerator cosecx over denominator cosecx minus cotx end fraction cross times fraction numerator cosecx plus cotx over denominator cosecx plus cotx end fraction dx
straight I equals integral fraction numerator cosec squared straight x plus cosecxcotx over denominator cosec squared straight x minus cot squared straight x end fraction dx
straight I equals integral open parentheses cosec squared straight x plus cosecxcotx close parentheses dx space space space space space space space space space space space space space space space space space cosec squared straight x minus cot squared straight x equals 1
straight I equals negative cotx minus cosecx plus straight c
end style
Answered by Sneha shidid | 25 Sep, 2018, 10:40: AM
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