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int (3dx)/(2x^(2)-x-1)=...

`int (3dx)/(2x^(2)-x-1)=`

A

`log|(x-1)/(x+1)|+c`

B

`log|(x+1)/(x+1)|+c`

C

`log|(x-1)/(2x-1)|+c`

D

`log|(x-1)/(2x+1)|+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • int (3)/(2x^(2) - x- 1) dx =

    A
    `log |(x- 1)/(x + 1)| + c `
    B
    `log |(x+ 1)/(2x - 1)| + c `
    C
    `log |(x- 1)/(2x - 1)| + c `
    D
    `log |(2x- 2)/(2x + 1)| + c `
  • int (1)/(2x^(2)-3)dx=

    A
    `(1)/(sqrt(6))log|(sqrt(2)x-sqrt(3))/(sqrt(2x+sqrt(3)))|+c`
    B
    `(1)/(2sqrt(3))log|(sqrt(2)x-sqrt(3))/(sqrt2x+sqrt(3))|+c`
    C
    `(1)/(2sqrt(6))log|(sqrt(2)x+sqrt(3))/(sqrt(2x+sqrt(3)))|+c`
    D
    none
  • int (1)/(2x^(2)+3x-5)dx=

    A
    `(1)/(5)log|(2x-2)/(2x+5)|+c`
    B
    `(1)/(7)log|(2x-2)/(2x+5)|+c`
    C
    `(1)/(7)log|(2x-2)/(2x-5)|+c`
    D
    none
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    Evaluate int (x+1)/(x^(2)+3x+12) dx .

    int (1)/(x^(2)-3x+2)dx=

    int (1)/(x^(2)(x+1))dx=

    int (1)/((2-3x)^(2))dx=

    int (1)/(2x^(2) - 3) dx =