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

`int_(2)^(3) (2x)/(1+x^(2))dx`

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The correct Answer is:
`l n2`
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Evaluate the definite integrals int_(2)^(3)(dx)/(x^(2)-1)

Evaluate the definite integrals int_(0)^(1)(2x+3)/(5x^(2)+1)dx

Knowledge Check

  • int_(2)^(3) (1)/(x^(2)-x) dx=

    A
    `ln. (2)/(3)`
    B
    `ln . 4/3`
    C
    `ln. 8/3`
    D
    `ln. 1/4`

  • int_(0)^(3) (3x + 1)/(x^(2)+9)dx=

    A
    `ln (2sqrt(2))+ pi/12`
    B
    `ln (2 sqrt(2))+ pi/2`
    C
    `ln (2 sqrt(2)) + pi/6`
    D
    `ln (2sqrt(2)) + pi/3`

  • int_(-2)^(3) |1-x^(2)|dx=

    A
    `28//3`
    B
    `1//3`
    C
    `7//3`
    D
    `14//3`

    • Similar Questions

    Explore conceptually related problems

    int_(0)^(1) (x^2)(1+x^2) dx =

    Show that (a) int_(e)^(e^(2))(1)/(log x)dx = int_(1)^(2)(e^(x))/(x)dx (b) int_(t)^(1)(dx)/(1+x^(2)) = int_(1)^(1//t)(dx)/(1+x^(2))

    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_(0)^(1)(x^(3))/((1+x^(2))^(3))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)= intTan^(-1)((2x)/(1-x^(2)))dx then the value of I_(1)+I_(2)-I_(3)=

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