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CBSE Class 12-science Answered

Integration ex ( cot x + log sin 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 cot space straight x space plus space log space sinx close parentheses dx
Consider comma space straight f left parenthesis straight x right parenthesis space equals space log space sinx
then space straight f apostrophe left parenthesis straight x right parenthesis equals 1 over sinx cross times cos space straight x equals cot space straight x
straight I equals integral straight e to the power of straight x open square brackets straight f left parenthesis straight x right parenthesis plus straight f apostrophe left parenthesis straight x right parenthesis close square brackets dx
straight I equals straight e to the power of straight x straight f left parenthesis straight x right parenthesis plus straight c equals straight e to the power of straight x space log space sin space straight x space plus thin space straight c end style
Answered by Sneha shidid | 26 Oct, 2018, 09:26: AM
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