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int (x+1/x)^3 dx...

`int (x+1/x)^3 dx`

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Evaluate int (x+1)/(x^(2)+3x+12) dx .

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Knowledge Check

  • int (1)/(x^(2)-3x+2)dx=

    A
    `log|(x-1)/(x-2)|+c`
    B
    `log|(x-2)/(x-1)|+c`
    C
    `log|(x+2)/(x+1)|+c`
    D
    none

  • int (3x+1)/((x-1)^(2)(x+3))dx=

    A
    ` log |(x-1)/(x+3)|-(1)/(x-1)+c`
    B
    `(1)/(2) log |(x-1)/(x+3)|-(1)/(x-1)+c`
    C
    ` (1)/(2)log |(x-1)/(x+3)|+(1)/(x-1)+c`
    D
    none

  • int (x^(3)-1)/(x^(3)+x)dx=

    A
    `x-logx+log(x^(2)+1)-Tan^(-1)x+c`
    B
    `x-log x+(1)/(2) log (x^(2)+1)-Tan^(-1)x+c`
    C
    `x+log x+ log (x^(2)+1)-Tan^(-1)x+c`
    D
    `x+log x +(1)/(2)log (x^(2)+1)-Tan^(-1)x+c`

    • Similar Questions

    Explore conceptually related problems

    Evalute the following integrals int (x + 1)/(x^(2) + 3x + 12) dx

    Evaluate the integerals. int (1-2 x^(3)) x^(2) dx on R.

    Evalute the following integrals int (e^(x)(x - 1))/((x + 1)^(3)) dx

    Evalute the following integrals int (sec^(2) x)/( ( 1 + tan x )^(3)) dx

    Evaluate (i) int(xe^(x))/((x+1)^(2))dx (ii) int x^3e^(-x) dx

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