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" Prove that : "3sin^(-1)x=sin^(-1)(3x-4...

" Prove that : "3sin^(-1)x=sin^(-1)(3x-4x^(3)),x in-(1)/(2),(1)/(2)

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3sin^(-1)x=sin(3x-4x^(3)),x in[-(1)/(2),(1)/(2)]

Prove : 3sin^(-1)x=sin^(-1)(3x-4x^(3))," "x in[-1/2,1/2]

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Prove the following : 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x epsilon[-1/2, 1/2]

Prove the following : 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x epsilon[-1/2, 1/2]

Prove the following : 3sin^(-1)x=sin^(-1)(3x-4x^(3)),x epsilon[-1/2, 1/2]

Integrate : int sin^(-1)(3x-4x^(3))dx[-(1)/(2)lexle(1)/(2)]

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Prove that: i) sin^(-1)(3x-4x^(3))=3sin^(-1)x, |x| le 1/2 ii) cos^(-1)(4x^(2)-3x)=3cos^(-1)x,1/2 le x le 1 iii) tan^(-1)""(3x-x^(3))/(1-3x^(2))=3tan^(-1)x, |x| lt 1/sqrt(3) iv) tan^(-1)x+tan^(-1)""(2x)/(1-x^(2))=tan^(-1)""(3x-x^(3))/(1-3x^(2))