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CBSE Class 12-science Answered

Integration (x2 + 1)dx/(x4 + x2 + 1)
Asked by haroonrashidgkp | 11 Nov, 2018, 03:56: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator straight x squared plus 1 over denominator straight x to the power of 4 plus straight x squared plus 1 end fraction dx
straight I equals integral fraction numerator 1 plus begin display style 1 over straight x squared end style over denominator straight x squared plus 1 plus begin display style 1 over straight x squared end style end fraction dx
straight I equals integral fraction numerator 1 plus begin display style 1 over straight x squared end style over denominator open parentheses straight x minus begin display style 1 over straight x end style close parentheses squared plus 3 end fraction dx
Put space straight x minus 1 over straight x equals straight t space then space open parentheses 1 plus 1 over straight x squared close parentheses dx equals dt
Put space it space in space the space integration space and space solve space it space further. end style
Answered by Sneha shidid | 15 Nov, 2018, 11:43: AM
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