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CBSE Class 12-science Answered

Integration x/(1 + sin x) dx explain in great detail and give full solution
Asked by haroonrashidgkp | 20 Oct, 2018, 11:03: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator straight x over denominator 1 plus sinx end fraction dx
straight I equals integral fraction numerator straight x over denominator 1 plus sinx end fraction cross times fraction numerator 1 minus sinx over denominator 1 minus sinx end fraction dx
straight I equals integral fraction numerator straight x left parenthesis 1 minus sinx right parenthesis over denominator 1 minus sin squared straight x end fraction dx
straight I equals integral fraction numerator straight x minus xsinx over denominator cos squared straight x end fraction dx
straight I equals integral open parentheses xsec squared straight x minus xtanxsecx close parentheses dx
Use space integration space by space parts space for space bothe space the space terms space and space solve space it space further. end style
Answered by Sneha shidid | 22 Oct, 2018, 04:09: PM
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