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intx/((x-1)(x-2)(x-3))dx...

`intx/((x-1)(x-2)(x-3))dx`

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intx^2/((x-1)(x-2)(x+3))dx

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Knowledge Check

  • intx(x+1)(x+2)dx=

    A
    `x^(4)+x^(3)+x^(2)+c`
    B
    `(x^(4))/(4)+(x^(3))/(3)+(x^(2))/(2)+c`
    C
    `x^(4)+x^(3)+(x^(2))/(2)+c`
    D
    `(x^(4))/(4)+x^(3)+x^(2)+c`

  • intx^(4)/((x-1)(x^(2)+1))dx=

    A
    `(x(x+2))/2+(logabs(x-1))/2-(logabs(x^(2)+1))/4-tan^(-1)x/2+c`
    B
    `(x(x+2))/2+(logabs(x-1))/2+(logabs(x^(2)+1))/4-tan^(-1)x/2+c`
    C
    `(x(x+2))/2+(logabs(x-1))/2+(logabs(x^(2)+1))/4+tan^(-1)x/2+c`
    D
    None of these

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