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CBSE Class 12-science Answered

Evaluate following 1. space space space space integral fraction numerator left parenthesis l o g x space minus space 1 right parenthesis space d x over denominator left parenthesis log x right parenthesis squared end fraction 2. space space space space space space integral subscript 2 superscript 3 fraction numerator x minus 1 over denominator left parenthesis x plus 1 right parenthesis cubed end fraction e to the power of x d x
Asked by Eng.surinder.singh | 25 Jan, 2019, 12:52: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator logx minus 1 over denominator open parentheses logx close parentheses squared end fraction 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 fraction numerator straight t minus 1 over denominator straight t squared end fraction 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 comma space straight f left parenthesis straight x right parenthesis equals 1 over straight t and space 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 space straight x over denominator log space straight x end fraction plus straight c end style
Answered by Sneha shidid | 25 Jan, 2019, 05:14: PM

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