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CBSE Class 12-science Answered

Integrate (2x -1 ) dx/(2x2 + 2x + 1)
Asked by haroonrashidgkp | 02 Nov, 2018, 09:47: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator 2 straight x minus 1 over denominator 2 straight x squared plus 2 straight x plus 1 end fraction dx Consider comma 2 straight x minus 1 equals straight A straight d over dx open parentheses 2 straight x squared plus 2 straight x plus 1 close parentheses plus straight B 2 straight x minus 1 equals straight A open parentheses 4 straight x plus 2 close parentheses plus straight B 2 straight x minus 1 equals 4 Ax plus 2 straight A plus straight B 4 straight A equals 2 rightwards double arrow straight A equals 1 half 2 straight A plus straight B equals negative 1 2 cross times 1 half plus straight B equals negative 1 straight B equals negative 2 straight I equals integral fraction numerator begin display style 1 half end style open parentheses 4 straight x plus 2 close parentheses minus 2 over denominator 2 straight x squared plus 2 straight x plus 1 end fraction dx Solve space it space further. end style
Answered by Sneha shidid | 12 Nov, 2018, 11:40: AM

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CBSE 12-science - Maths
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