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" 1."sqrt((x-2)/(1-2x))>-1...

" 1."sqrt((x-2)/(1-2x))>-1

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Is tan^(-1) (sqrt((1-x^(2))/(1+x^(2))) ) = 1/2 cos^(-1) x true ?

Is tan^-1(sqrt((1-x^2)/(1+x^2))) = 1/2 cos^-1 x true?

int e^(x)[(1)/(sqrt(1+x^(2)))+(1-2x^(2))/(sqrt((1+x^(2))^(5)))]dx

If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -1 < x < 1, x!= 0 . Find dy/dx .

If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -1 < x < 1, x!= 0 . Find dy/dx .

y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))) , where -1 < x < 1 , find dy/dx

y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))) , where -1 < x < 1 , find dy/dx

y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)))

Prove that tan^(-1)[(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))]=pi/4+1/2cos^(-1)x^2