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CBSE Class 12-science Answered

integration 2x dx /( 2 + x – x2)
Asked by haroonrashidgkp | 03 Nov, 2018, 06:48: 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 Consider comma 2 straight x equals straight A straight d over dx open parentheses 2 plus straight x minus straight x squared close parentheses plus straight B 2 straight x equals straight A left parenthesis 1 minus 2 straight x right parenthesis plus straight B 2 straight x equals straight A minus 2 Ax plus straight B minus 2 straight A equals 2 straight A equals negative 1 space and space straight A thin space plus straight B equals 0 straight A equals negative 1 space and space straight B equals 1 straight I equals integral fraction numerator negative left parenthesis 1 minus 2 straight x right parenthesis plus 1 over denominator 2 plus straight x minus straight x squared end fraction dx straight I equals integral open parentheses fraction numerator negative left parenthesis 1 minus 2 straight x right parenthesis over denominator 2 plus straight x minus straight x squared end fraction plus fraction numerator 1 over denominator 2 plus straight x minus straight x squared end fraction close parentheses dx Integrate space it space further. end style
Answered by Sneha shidid | 06 Nov, 2018, 11:08: AM

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CBSE 12-science - Maths
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