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int (x^2 -1 )/ (x^3 sqrt(2x^4 - 2x^2 +1)...

`int (x^2 -1 )/ (x^3 sqrt(2x^4 - 2x^2 +1))dx` is equal to

A

`(sqrt(2x^(4)-2x^(2)+1))/x^(2)+C`

B

`(sqrt(2x^(4)-2x^(2)+1))/x^(3)+C`

C

`(sqrt(2x^(4)-2x^(2)+1))/x+C`

D

`(sqrt(2x^(4)-2x^(2)+1))/(2x^(2))+C`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • int(x^2-1)/(x^3sqrt(2x^4-2x^2+1)) dx is equal to :

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

  • What is int(x^(4)-1)/(x^(2)sqrt(x^(4)+x^(2)+1))dx equal to ?

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