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CBSE Class 12-science Answered

{x^4+1/x(x^2+1)^2 dx  {1/sinx-sin2x dx
Asked by raghuvarandamodaran2002 | 28 Aug, 2019, 09:02: PM
Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator straight x to the power of 4 plus 1 over denominator open parentheses straight x squared plus 1 close parentheses squared end fraction dx end style
begin mathsize 16px style straight I equals integral fraction numerator straight x to the power of 4 plus 2 straight x squared plus 1 minus 2 straight x squared over denominator open parentheses straight x squared plus 1 close parentheses squared end fraction dx end style
begin mathsize 16px style straight I equals integral open parentheses fraction numerator straight x to the power of 4 plus 2 straight x squared plus 1 over denominator straight x to the power of 4 plus 2 straight x squared plus 1 end fraction minus fraction numerator 2 straight x squared over denominator open parentheses straight x squared plus 1 close parentheses squared end fraction close parentheses dx end style
begin mathsize 16px style straight I equals integral open parentheses 1 minus 2 cross times fraction numerator straight x squared plus 1 minus 1 over denominator open parentheses straight x squared plus 1 close parentheses squared end fraction close parentheses dx end style
begin mathsize 16px style straight I equals integral open parentheses 1 minus fraction numerator 2 over denominator straight x squared plus 1 end fraction plus 2 over open parentheses straight x squared plus 1 close parentheses squared close parentheses dx end style
Now integrate it further.
Answered by Sneha shidid | 29 Aug, 2019, 10:46: AM

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