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CBSE Class 12-science Answered

 Integration {1/log x – 1/(log x)2} dx  explain in great detail and give full solution
Asked by haroonrashidgkp | 20 Oct, 2018, 11:03: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral open parentheses fraction numerator 1 over denominator log space straight x end fraction minus open square brackets fraction numerator 1 over denominator log space straight x end fraction close square brackets squared close parentheses dx
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 parentheses 1 over straight t minus 1 over straight t squared close parentheses straight e to the power of straight t dt
Consider space straight f left parenthesis straight x right parenthesis equals 1 over straight t rightwards double arrow straight f apostrophe left parenthesis straight x right parenthesis equals negative 1 over straight t squared
straight I equals straight e to the power of straight t cross times 1 over straight t plus straight c
straight I equals fraction numerator straight x over denominator log space straight x end fraction plus straight c end style
Answered by Sneha shidid | 22 Oct, 2018, 03:39: PM
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