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CBSE Class 12-science Answered

 Integration log(x + 2)/( x + 2)2 dx explain in great detail
Asked by haroonrashidgkp | 21 Oct, 2018, 03:38: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator log left parenthesis straight x plus 2 right parenthesis over denominator left parenthesis straight x plus 2 right parenthesis squared end fraction dx
straight x plus 2 equals straight t
dx equals dt
straight I equals integral fraction numerator log space straight t over denominator straight t squared end fraction dt
Put space log space straight t space equals space straight u rightwards double arrow straight t equals straight e to the power of straight u
1 over straight t dt equals du
straight I equals integral straight u over straight e to the power of straight u du
straight I equals integral ue to the power of negative straight u end exponent du
Intgrate space by space parts space and space solve space it space further. end style
Answered by Sneha shidid | 22 Oct, 2018, 04:03: PM
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