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The anti-derivative of (x-1)/((x+1)sqrt...

The anti-derivative of `(x-1)/((x+1)sqrt(x^3+x^2+x))` is

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Knowledge Check

  • The anti-derivative of x/(cos^(2)x) is

    A
    `xtanx+c`
    B
    `logabs(cosx)+c`
    C
    `xtanx+logabs(cosx)+c`
    D
    `cotx+c`
  • The anti-derivative of sin 2x-4e^(3x) is

    A
    `(1)/(2)cos 2x-(4)/(3)e^(3x)+C`
    B
    `-(1)/(2)cos 2x+(4)/(3)e^(3x)+C`
    C
    `-(1)/(2)cos 2x-(4)/(3)e^(3x)+C`
    D
    None of these
  • The anti-derivative of (sqrt(x) + (1)/(sqrt(x))) equals

    A
    `(1)/(3)x^(1//3) + 2x^(1//2) + C`
    B
    `(2)/(3)x^(2//3) + (1)/(2)x^(2) + C`
    C
    `(2)/(3)x^(3//2) + 2x^(1//2) + C`
    D
    `(3)/(2)x^(3//2) + (1)/(2)x^(1//2) + C`
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    The anti derivative of (sqrt(x) +(1)/(sqrt(x))) equals

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