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int ((1)/(1-x^(2))+(2)/(1+x^(2)))dx on (...

`int ((1)/(1-x^(2))+(2)/(1+x^(2)))dx on (-1, 1)`

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Explore conceptually related problems

Evaluate the integerals. int ((1)/(1-x^(2))+(1)/(1+x^(2))) dx " on " (-1,1) .

Find the values of the following integrals int((1)/(1-x^(2))+(1)/(1+x^(2)))dx

Knowledge Check

  • int (1)/((1x^(2))sqrt(1-x^(2)))dx

    A
    `-(1)/(sqrt(2))Tanh^(-1)((sqrt(1+x^(2)))/(sqrt(2)x))+c`
    B
    `(1)/(sqrt(2))Tanh^(-1)((sqrt(1+x^(2)))/(sqrt(2)x))+c`
    C
    `-(1)/(sqrt(2))Tanh^(-1)((sqrt(1-x^(2)))/(sqrt(2)x))+c`
    D
    none

  • int (1)/((x^(2) + 1)(x^(2)+ 4)) dx =

    A
    `(1)/(3) [ tan^(-1) x - (1)/(2) tan^(-1)""(x)/(2)] + c`
    B
    `(1)/(3) [ tan^(-1) x + (1)/(2) tan^(-1)""(x)/(2)] + c`
    C
    `(1)/(3) [tan^(-1) x - (x)/(2) + 2 tan^(-1) x] + c`
    D
    `(2)/(3) [ tan^(-1) x - (3)/(2) tan^(-1)""(x)/(2)] + c`

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

    A
    `e^(x)((x+1)/(x-1))+c`
    B
    `(e^(x)(x-2))/(x+1)+c`
    C
    `(e^(x)(x-1))/(x+1)+c`
    D
    none

    • Similar Questions

    Explore conceptually related problems

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

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

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

    If I_(1) int sin^(-1) ((2x)/(1 +x^(2)) ) dx , I_(2) = int cos^(-1) ((1-x^(2))/(1 +x^(2)) ) dx , I_(3) = int tan^(-1) ((2x)/(1 - x^(2)) ) dx , then I_(1) + I_(2) - I_(3) =

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

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