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CBSE Class 12-science Answered

Integration [sin (log x ) + cos(log x)] dx
Asked by haroonrashidgkp | 27 Oct, 2018, 05:45: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral open square brackets sin left parenthesis log space straight x right parenthesis plus cos left parenthesis log space straight x right parenthesis close square brackets dx
Put space log space straight x space equals space straight t
straight x space equals space straight e to the power of straight t
dx equals straight e to the power of straight t dt
straight I equals integral open square brackets sint plus cost close square brackets straight e to the power of straight t dt
Consider
straight f left parenthesis straight x right parenthesis equals sint space then space straight f apostrophe left parenthesis straight x right parenthesis equals cosx
straight I equals straight e to the power of straight t sint space plus space straight c
straight I equals straight e to the power of log space straight x end exponent sin left parenthesis log space straight x right parenthesis plus straight c
straight I equals xsin left parenthesis log space straight x right parenthesis plus straight c end style
Answered by Sneha shidid | 29 Oct, 2018, 09:13: AM
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