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

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

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • int(dx)/(2x^(2)+x-1) is equal to

    A
    `1/3logabs((2x-1)/(2(x+1)))+c`
    B
    `1/3logabs((2x+1)/(2(x+1)))+c`
    C
    `1/2logabs((3x-1)/(2(x+1)))+c`
    D
    `logabs((3x-1)/(2(x+1)))+c`

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

    A
    `(1)/(2)ln|(x^(2)-1)/(x^(2)+1)|+c`
    B
    -`(1)/(2)ln|(x^(2)+1)/(x^(2))|+c`
    C
    `ln|(x^(7)-1)/(7x)|+c`
    D
    `(1)/(7)ln|(x^(7))/(x^(7)+1)|+c`

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

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

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