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sin^(-1)(3^(x-4x^(3)))*root(2)(51+7)...

sin^(-1)(3^(x-4x^(3)))*root(2)(51+7)

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Statement I If y=sin^(-1)(3x-4x^(3)), then (dy)/(dx)=(3)/(sqrt(1-x^(2))) only when (-1)/(2)lexlt(1)/(2)/. Statement II sin^(-1)(3x-4x^(3)) ={(-pi-3sin^(-1)x,,-1lexle-(1)/(2),),(3sin^(-1)x,,-(1)/(2)lexle(1)/(2),),(pi-3sin^(-1)x,,(1)/(2)lexle1,):}

Statement I If y=sin^(-1)(3x-4x^(3)), then (dy)/(dx)=(3)/(sqrt(1-x^(2))) only when (-1)/(2)lexlt(1)/(2)/. Statement II sin^(-1)(3x-4x^(3)) ={(-pi-3sin^(-1)x,,-1lexle-(1)/(2),),(3sin^(-1)x,,-(1)/(2)lexle(1)/(2),),(pi-3sin^(-1)x,,(1)/(2)lexle1,):}

Statement I If y=sin^(-1)(3x-4x^(3)), then (dy)/(dx)=(3)/(sqrt(1-x^(2))) only when (-1)/(2)lexlt(1)/(2)/. Statement II sin^(-1)(3x-4x^(3)) ={(-pi-3sin^(-1)x,,-1lexle-(1)/(2),),(3sin^(-1)x,,-(1)/(2)lexle(1)/(2),),(pi-3sin^(-1)x,,(1)/(2)lexle1,):}

sin^(-1)(2x sqrt(1-x^(2)))+sin^(-1)(3x-4x^(3))=(7 pi)/(9)in((1)/(2)*(1)/(sqrt(2))) is

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

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

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

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

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

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