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int(x+1)/(x^2+4x-5)dx...

`int(x+1)/(x^2+4x-5)dx`

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int(x)/(x^(2)+4x+5)dx

Evaluate: int(1)/(x^(2)+4x-5)dx

Knowledge Check

  • int(dx)/(x^2+4x-5)=

    A
    `(1)/(6)log|(x+5)/(x-1)|+c`
    B
    `(1)/(6)log|(x-1)/(x+5)|+c`
    C
    `(1)/(3)log|(x+5)/(x-1)|+c`
    D
    `(1)/(3)log|(x-1)/(x+5)|+c`

  • int(4x)/(2x^2+x-1)dx=

    A
    `(2)/(3)log|2x-1|+(2)/(3)log|x+1|+c`
    B
    `(2)/(3)log|2x-1|-(2)/(3)log|x+1|+c`
    C
    `(2)/(3)log|2x-1|+(4)/(3)log|x+1|+c`
    D
    `(2)/(3)log|2x-1|-(4)/(3)log|x+1|+c`

  • int(1)/(x^(2)(4x+5))dx=

    A
    `(1)/(5x)+(4)/(25)log((4x+5)/(x))+c`
    B
    `(-1)/(5x)+(4)/(25)log((4x+5)/(x))+c`
    C
    `(1)/(5x)-(4)/(25)log((4x+5)/(x))+c`
    D
    `-(1)/(x)+(1)/(4)log(4x+5)+c`

    • Similar Questions

    Explore conceptually related problems

    int (2x+1)/(x^2+4x-5) dx

    int(1)/(4x^(2)-4x+5)dx

    int(dx)/(x^(2)-4x+5)

    If int(x+1)/((x^(2)+4x+5)^(2))dx=f(x)+g(x)+c where f(0)= (-3)/(10) , g(-1)= (-pi)/(8) and c is any arbitrary constant, if value of f(1)+g(sqrt(3)-2)=-(1)/(5)-(pi)/(k) , then k:

    "int(4x+5)/(x^(2)+x-2)dx

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