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CBSE Class 12-science Answered

evaluate: Integration cosx/1 + cos x dx explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 04:18: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator cosx over denominator 1 plus cosx end fraction dx
straight I equals integral fraction numerator cosx left parenthesis 1 minus cosx right parenthesis over denominator left parenthesis 1 plus cosx right parenthesis left parenthesis 1 minus cosx right parenthesis end fraction dx
straight I equals integral fraction numerator cosx minus cos squared straight x over denominator 1 minus cos squared straight x end fraction dx
straight I equals integral fraction numerator cosx minus cos squared straight x over denominator sin squared straight x end fraction dx
straight I equals integral open parentheses cotxcosecx minus cot squared straight x close parentheses dx
straight I equals integral open parentheses cotxcosecx minus open square brackets cosec squared straight x minus 1 close square brackets close parentheses dx
straight I equals negative cosecx minus left parenthesis negative cotx right parenthesis plus straight x plus straight c
straight I equals negative cosecx plus cotx plus straight x plus straight c end style
Answered by Sneha shidid | 25 Sep, 2018, 10:25: AM
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