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integrate intcos^(- 1)(4x^3-3x)dx...

integrate `intcos^(- 1)(4x^3-3x)dx`

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Let `I=int cos ^{-1}(4 x^{3}-3 x) d x`
` x=cos theta `
` Rightarrow d x=-sin theta d theta `
` I=-int cos ^{-1}(4 cos ^{3} theta-3 cos theta) sin theta d theta `
We know that,
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