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CBSE Class 12-science Answered

Integration e-x cos x dx  explain in great detail
Asked by haroonrashidgkp | 24 Oct, 2018, 07:58: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral straight e to the power of negative straight x end exponent cosxdx
straight I equals integral open parentheses cosx close parentheses straight e to the power of negative straight x end exponent dx
straight I equals cosx integral straight e to the power of negative straight x end exponent dx minus integral open parentheses negative sinx integral straight e to the power of negative straight x end exponent dx close parentheses dx
straight I equals negative straight e to the power of negative straight x end exponent cosx plus integral negative sinx space straight e to the power of negative straight x end exponent dx
straight I equals negative straight e to the power of negative straight x end exponent cosx minus integral sinx space straight e to the power of negative straight x end exponent dx
Integrating space it space further space using space by space parts space we space get space the space integral space same space as space
the space question space then space solve space it space further. end style
Answered by Sneha shidid | 25 Oct, 2018, 10:49: AM
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