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AP EAMCET202017 Sep 2020Evening ShiftMathematicsIndefinite IntegrationActual

( x^4+x^2+1 x^2-x+1 d x= )

Options

  1. A( ( 1 3 ) x^3+ ( 1 2 ) x^2+x+c )
  2. B( ( 1 3 ) x^3- ( 1 2 ) x^2+x+c )
  3. C( ( 1 3 ) x^3+ ( 1 2 ) x^2-x+c )
  4. D( ( 1 3 ) x^3- ( 1 2 ) x^2-x+c )

Correct answer

A. ( ( 1 3 ) x^3+ ( 1 2 ) x^2+x+c )

Step-by-step solution

We have, ( aligned & I= x^4+x^2+1 x^2-x+1 d x & I= (x^2+x+1 ) (x^2-x+1 ) x^2-x+1 d x aligned ) So, (I= (x^2+x+1 ) d x= x^3 3 + x^2 2 +x+c )

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