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

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

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Given:`int(sin^(-1)(3x-4x^3)dx)`
`I=int(sin^(-1)(3x-4x^3)dx)`
Let `I = int sin^(-1) (3x – 4x^3) dx`
Now, let `x = sin t`, then `dx = cos t dt`
Therefore, `I = int sin^(-1) (3 sin t – 4 sin^3 t).cos t dt`
` = int sin^(-1) (sin 3t) cos t dt`
`= int 3t cos t dt`
`= int 3t cos t dt`
...
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