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CBSE Class 12-science Answered

  Integration (1 – x2)dx/( 1 + x4)
Asked by haroonrashidgkp | 07 Nov, 2018, 09:18: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator 1 minus straight x squared over denominator 1 plus straight x to the power of 4 end fraction dx
straight I equals negative integral fraction numerator straight x squared minus 1 over denominator straight x to the power of 4 plus 1 end fraction dx
straight I equals negative integral fraction numerator 1 minus begin display style 1 over straight x squared end style over denominator open parentheses straight x plus begin display style 1 over straight x end style close parentheses squared minus 2 end fraction dx
Put space straight x plus 1 over straight x equals straight t
open parentheses 1 minus 1 over straight x squared close parentheses dx equals dt
straight I equals negative integral fraction numerator dt over denominator straight t squared minus 2 end fraction
Integrate space it space further. end style
Answered by Sneha shidid | 13 Nov, 2018, 10:39: AM
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