" (iii) "sqrt((1-sqrt(x))/(1+sqrt(x)))" (NCERT) "

int sqrt((1-sqrt(x)))/(1+sqrt(x)).(dx)/(x)

sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

(1)/(sqrt(x))(sqrt(x)-(1)/(sqrt(x)))^(3)

sqrt(x+1)+sqrt(x-1)=1

The derivative of tan^(-1)((sqrt(1 + x)-sqrt(1-x))/(sqrt(1 + x)+sqrt(1-x))) is

Simplify : ( sqrt( x +1 ) - sqrt(x-1) ) / ( sqrt(x + 1 ) + sqrt( x -1) )

The differential coefficient of tan^(- 1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))

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

If x= sqrt3/2 , then the value of (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) is equal to: यदि x= sqrt3/2 , (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) का मान ज्ञात करें :