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int (dx)/(4x^(2)+9)...

`int (dx)/(4x^(2)+9)`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(6) tan^(-1)""(2x)/(3)+c`
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Knowledge Check

  • The value of int (dx)/(9x^(2)+4) is-

    A
    `(1)/(2) tan^(-1)""(3x)/(2)+c`
    B
    `(1)/(6) tan^(-1)""(3x)/(2)+c`
    C
    `(1)/(6)tan^(-1)""(2x)/(3)+c`
    D
    `(2)/(27)tan^(-1)""(3x)/(2)+c`

  • The value of int (x dx)/(x^(2)+4x+5) is equal to -

    A
    `(1)/(2) log|x^(2)+4x+5|+2 tan^(-1)x+c`
    B
    `(1)/(2)log|x^(2)+4x+5|-tan^(-1)(x+2)+c`
    C
    `(1)/(2)log|x^(2)+4x+5|+tan^(-1)(x+2)+c`
    D
    `(1)/(2)log|x^(2)+4x+5|-2tan^(-1)(x+2)+c`

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    int (dx)/((3x^(2)-4x+2)^((3)/(2)))

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    Evaluate : int (dx)/(x^(2)(x^(4)+1)^((3)/(4)))

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