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Find int(x^(2)+1)/(x^(2)-5x+6)dx...

Find `int(x^(2)+1)/(x^(2)-5x+6)dx`

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Knowledge Check

  • Integration by partial fraction : int(x^(2)+x-1)/(x^(2)+x-6)dx=....

    A
    `x+log(x+3)+log(x-2)+c`
    B
    `x-log(x+3)+log(x-2)+c`
    C
    `x-log(x+3)-log(x-2)+c`
    D
    None of these
  • int(x^(2)+1)/(x(x^(2)-1))dx=....

    A
    `"log"(x^(2)-1)/(x)+c`
    B
    `-"log"(x^(2)-1)/(x)+c`
    C
    `"log"(x)/(x^(2)+1)+c`
    D
    `-"log"(x)/(x^(2)+1)+c`
  • int(x^(9))/((4x^(2)+1)^(6)) dx

    A
    `(1)/(5x)(4+(1)/(x^(2)))^(5)`
    B
    `(1)/(5)(4+(1)/(x^(2)))^(-5)`
    C
    `(1)/(10x) (1+4x^(2))^(-5)`
    D
    `(1)/(10)(4+(1)/(x^(2)))^(-5)`
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