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CBSE Class 12-science Answered

 integration 2x dx /( 2 + x – x2)
Asked by haroonrashidgkp | 07 Nov, 2018, 09:17: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator 2 straight x over denominator 2 plus straight x minus straight x squared end fraction dx straight I equals integral fraction numerator negative 2 straight x over denominator straight x squared minus straight x minus 2 end fraction dx straight I equals integral fraction numerator negative 2 xdx over denominator left parenthesis straight x minus 2 right parenthesis left parenthesis straight x plus 1 right parenthesis end fraction Consider comma fraction numerator negative 2 straight x over denominator left parenthesis straight x minus 2 right parenthesis left parenthesis straight x plus 1 right parenthesis end fraction equals fraction numerator straight A over denominator straight x minus 2 end fraction plus fraction numerator straight B over denominator straight x plus 1 end fraction Solving space this space we space get space straight A equals fraction numerator negative 4 over denominator 3 end fraction space and space straight B equals fraction numerator negative 2 over denominator 3 end fraction Hence comma straight I equals integral open parentheses fraction numerator fraction numerator negative 4 over denominator 3 end fraction over denominator straight x minus 2 end fraction plus fraction numerator fraction numerator negative 2 over denominator 3 end fraction over denominator straight x plus 1 end fraction close parentheses dx Integrate space it space further. end style
Answered by Sneha shidid | 08 Nov, 2018, 01:33: PM

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CBSE 12-science - Maths
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