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(3x + 1)/( 2x^(2) - 2 x + 3 )...

`(3x + 1)/( 2x^(2) - 2 x + 3 ) `

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The correct Answer is:
` = (3)/( 4 ) log | 2 x^(2) - 2 x + 3 | + (sqrt(5))/(2) tan ^(-1) ((2 x - 1)/(sqrt(5)))+ c `
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Knowledge Check

  • The sum of the polynomials p(x) = x^(3) - x^(2) - 2, q(x) = x^(2) - 3x + 1

    A
    `x^(3) -3x -1`
    B
    `x^(3) + 2x^(2) -1`
    C
    `x^(3) - 2x^(2) - 3x `
    D
    `x^(3) - 2x^(2) +3x -1`

  • If (1 -2x)/(3 + 2x - x^(2)) = (A)/(3 -x ) + (B)/(x + 1) ,then the value of A + B is

    A
    `(-1)/(2)`
    B
    `(-2)/(3)`
    C
    `(1)/(2)`
    D
    `(2)/(3)`

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