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The integral int1/((1+x^2)sqrt(1-x^2))dx...

The integral `int1/((1+x^2)sqrt(1-x^2))dx` is equal to

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Knowledge Check

  • The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C is the constant of integration)

    A
    `-2sqrt((1+sqrt(x))/(1-sqrt(x)))+C`
    B
    `-2sqrt((1-sqrt(x))/(1+sqrt(x)))+C`
    C
    `-sqrt((1+sqrt(x))/(1+sqrt(x)))+C`
    D
    `2sqrt((1+sqrt(x))/(1-sqrt(x)))+C`
  • The integral int_(-1)^(1) (|x+2|)/(x+2)dx is equal to

    A
    1
    B
    2
    C
    0
    D
    `-1`
  • The integral int_(-1)^(2) (|x+2|)/(x+2)dx is equal to

    A
    1
    B
    3
    C
    0
    D
    `-1`
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