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in^(-1){(1)/(sqrt(1+x^(2)))}...

in^(-1){(1)/(sqrt(1+x^(2)))}

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

int_(-1)^(1)(sin^(-1)""(x)/(sqrt(1-x^(2)))+Cos^(-1)(x)/(sqrt(1-x^(2))))dx=

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

sec^(-1)((1)/(sqrt(1-x^(2))))

Differentiate sin^(-1)(2x sqrt(1-x^(2))) with respect to sec^(-1)((1)/(sqrt(1-x^(2)))), if x in(1/sqrt(2),1)

int_(-1)^(1)(1)/(sqrt(1-x^(2)))dx =

int_(1/2)^(1)(1)/(sqrt(1-x^(2)))dx=

int_(1//2)^(1)(1)/(sqrt(1-x^(2)))dx=