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int(x^2-2)/(x^3sqrt(x^2-1))dx equal to...

`int(x^2-2)/(x^3sqrt(x^2-1))dx` equal to

A

`x^2/(sqrt(x^2-1))+C`

B

`-(x^2)/(sqrt(x^2-1))+C`

C

`(sqrt(x^2-1))/x^2+C`

D

`-(sqrt(x^2-1))/x^2+C`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • int (x^(2)-2)/(x^(3)sqrt(x^(2)-1)) dx is equal to:

    A
    `x^(2)/sqrt(x^(2) -1) + C`
    B
    `-x^(2)/sqrt(x^(2)-1)` + C
    C
    `sqrt(x^(2)-1)/x^(2) + C`
    D
    `-sqrt(x^(2)-1)/x^(2)` + C

  • int(1)/((x-1)sqrt(x^(2)-1))dx equals

    A
    `-sqrt((x-1)/(x+1))+C`
    B
    `sqrt((x-1)/(x+1))+C`
    C
    `sqrt((x+1)/(x-1))+C`
    D
    `-sqrt((x+1)/(x-1))+C`

  • int(1)/(sqrt(8+2x-x^(2)))dx is equal to

    A
    `(1)/(3)sin^(-1)((x-1)/(3))+c`
    B
    `sin^(-1)((x+1)/(3))+c`
    C
    `(1)/(3)sin^(-1)((x+1)/(3))+c`
    D
    `sin^(-1)((x-1)/(3))+c`

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