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CBSE Class 12-science Answered

Integration  ex (sin x cos x – 1/sin2x) dx explain in great detail
Asked by haroonrashidgkp | 26 Oct, 2018, 09:39: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral straight e to the power of straight x open parentheses fraction numerator sinxcosx minus 1 over denominator sin squared straight x end fraction close parentheses dx
straight I equals integral straight e to the power of straight x open parentheses cosx over sinx minus fraction numerator 1 over denominator sin squared straight x end fraction close parentheses dx
straight I equals integral straight e to the power of straight x open parentheses cotx minus cosec squared straight x close parentheses dx
Consider space straight f left parenthesis straight x right parenthesis equals cotx space then space straight f apostrophe left parenthesis straight x right parenthesis equals negative cosec squared straight x
straight I equals integral straight e to the power of straight x open parentheses straight f left parenthesis straight x right parenthesis plus straight f apostrophe left parenthesis straight x right parenthesis close parentheses dx equals straight e to the power of straight x straight f left parenthesis straight x right parenthesis plus straight c
straight I equals straight e to the power of straight x cotx plus straight c end style
Answered by Sneha shidid | 28 Oct, 2018, 08:50: PM
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