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The value of int(1)/((2x-1)sqrt(x^(2)-x)...

The value of `int(1)/((2x-1)sqrt(x^(2)-x))dx` is equal to (where c is the constant of integration)

A

`sec^(-1)(x-1)+c`

B

`sec^(-1)(2x-1)+c`

C

`tan^(-1)x+c`

D

`tan^(-1)(2x-1)+c`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The value of int((x-4))/(x^2sqrt(x-2)) dx is equal to (where , C is the constant of integration )

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

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

  • int(dx)/(1+e^(-x)) is equal to : Where c is the constant of integration.

    A
    `1+e^(x)+c`
    B
    `ln(1+e^(-x))+c`
    C
    `ln(1+e^(x))+c`
    D
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