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CBSE Class 12-science Answered

evaluate: Integration 1 /(1 – sin x) dx explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 04:16: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator 1 over denominator 1 minus sinx end fraction dx
straight I equals integral fraction numerator 1 over denominator 1 minus sinx end fraction cross times fraction numerator 1 plus sinx over denominator 1 plus sinx end fraction dx
straight I equals integral fraction numerator 1 plus sinx over denominator 1 minus sin squared straight x end fraction dx
straight I equals integral fraction numerator 1 plus sinx over denominator cos squared straight x end fraction dx
straight I equals integral open parentheses fraction numerator 1 over denominator cos squared straight x end fraction plus fraction numerator sinx over denominator cos squared straight x end fraction close parentheses dx
straight I equals integral open parentheses sec squared straight x plus tanxsecx close parentheses dx
straight I equals tanx plus secx plus straight c end style
Answered by Sneha shidid | 24 Sep, 2018, 01:34: PM
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