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int(sin^(-1)(3x-4x^3)dx)...

`int(sin^(-1)(3x-4x^3)dx)`

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The value of the integral int_(0)^(1)sin^(-1)(3x-4x^(3))dx is

Value of the definite integral int_(-(1)/(2))^((1)/(2))(sin^(-1)(3x-4x^(3))-cos^(-1)(4x^(3)-3x))dx

Knowledge Check

  • int_(-1/2)^(1/2) [sin^(-1)(3x-4x^(3)) - cos^(-1) (4x^(3)-3x)] dx =

    A
    0
    B
    `-(3pi)/2`
    C
    `(7pi)/2`
    D
    `pi/2`

  • int Cos^(-1)(4x^(3)-3x)dx=

    A
    `x Cos^(-1)x-sqrt(1-x^(2))+c`
    B
    `xCos^(-1)x-3 sqrt(1-x^(2))+c`
    C
    `3x Cos^(-1)x-sqrt(1-x^(2))+c`
    D
    `3x Cos^(-1)x-3 sqrt(1-x^(2))+c`

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