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int(0)^(1) (x^2)(1+x^2) dx=...

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

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Knowledge Check

  • int_(0)^(2) [x^(2)-1]dx=

    A
    `4-sqrt(3)-sqrt(2)`
    B
    `4+sqrt(3)+sqrt(2)`
    C
    `sqrt(3)-1`
    D
    `sqrt(2)+1`

  • int_(0)^(1) (ln(1+x))/(1+x^(2))dx=

    A
    `pi/4 ln 2`
    B
    `pi/2 ln 2`
    C
    `pi/8 ln 2`
    D
    `pi ln 2`

    • Similar Questions

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    Evaluate the integrals . I=int_(0)^(1) (x^(2))/(x^(2)+1)dx

    int_(0)^(1) x e^(-x^(2))dx

    Match the following. {:(I,int_(0)^(pi//2)sqrt(1-cos2x)dx=,(a),2),(II,int_(0)^(pi//2)sqrt(1+sin2x)dx=,(b),sqrt2),(III,int_(0)^(1)(x)/(1+x^(2))dx=,(c),log2),(IV,int_(0)^(pi//2)(cosx)/(1+sinx)dx=,(d),(1)/(2)log2):}

    int_(0)^(1)x^(4)(1-x)^(5//2)dx=

    Evaluate int_(0)^(1) x e^(x^(2))dx .

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

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