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

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

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I=int(dx)/((2a x-x^2)

Evaluate the integrals by using substitution int_(0)^(2)(dx)/(x+4-x^(2))

Knowledge Check

  • int(x^(4)-x^(2)+2)/(x+1)dx :

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

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