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

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

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Knowledge Check

  • inte^x((1-x)/(1+x))^2dx is equal to

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

  • int(1)/(x^(2)-9)dx is equal to

    A
    `log|(x-3)/(x+3)|+C`
    B
    `(1)/(6)log|(x-3)/(x+3)|+C`
    C
    `(1)/(6)log|(x+3)/(x-3)|+C`
    D
    `log|(x+3)/(x-3)|+C`

  • The value of the integral int(1+x^(2))/(1+x^(4))dx is equal to

    A
    `tan^(-1)x^(2)+C`
    B
    `(1)/(sqrt(2))tan^(-1)((x^(2)-1)/(sqrt(2)x))`
    C
    `(1)/(2sqrt(2))log((x^(2)+sqrt(2)x+1)/(x^(2)-sqrt(2)x+1))+C`
    D
    none of these

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