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CBSE Class 12-science Answered

Integration ex ( tan x – log cos x ) dx explain in great detail
Asked by haroonrashidgkp | 25 Oct, 2018, 10:38: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral straight e to the power of straight x open parentheses tanx space minus space logcosx close parentheses dx
Consider comma
straight f left parenthesis straight x right parenthesis space equals space minus space log space cosx
then space straight f apostrophe left parenthesis straight x right parenthesis space equals space fraction numerator negative 1 over denominator cosx end fraction cross times negative sinx equals tanx
Hence comma
straight I space equals straight e to the power of straight x straight f left parenthesis straight x right parenthesis space plus space straight c space equals space straight e to the power of straight x open parentheses negative log space cosx close parentheses space plus thin space straight c end style
Answered by Sneha shidid | 25 Oct, 2018, 05:43: PM
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