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Find int(xsin^(-1)x)/(sqrt(1-x^2))dx...

Find `int(xsin^(-1)x)/(sqrt(1-x^2))dx`

Text Solution

Verified by Experts

The correct Answer is:
`-sin^(-1)x(sqrt(1-x^(2)))+x+c`
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Knowledge Check

  • int (sin^(-1))/(sqrt(1+x)) dx=

    A
    `2sqrt(1+x) sin^(-1) x+2sqrt(1-x)+c`
    B
    `2sqrt(1+x) (sin^(-1) x+ 2) + c`
    C
    `2sqrt(1+x) sin ^(-1) x+4 sqrt(1-x)+c`
    D
    None of these.

  • int_(-1)^(1) (x sin^(-1)x) /(sqrt(1-x^(2)) )dx

    A
    0
    B
    2
    C
    `pi`
    D
    `pi/2`

  • int_(-1)^(1) (x^(2) sin^(-1)x) /(sqrt(1-x^(2)) )dx

    A
    0
    B
    2
    C
    `pi`
    D
    `pi/2`

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    int(dx)/(sqrt(1-x)) =

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