" 12."sqrt((1+x)/(1-x))

tan^(-1)sqrt((1-x)/(1+x))+sin^(-1)2x sqrt(1-x^(2))=(5 pi)/(12) if x=

int sqrt((x)/(1-x))dx is equal to sin^(-1)sqrt(x)+C(b)sin^(-1){sqrt(x)-sqrt(x(1-x))}+C(c)sin^(-1){sqrt(x(1-x)}+C(d))sin^(-1)sqrt(x)-sqrt(x(1-x))+C

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 :

If x=sqrt3/2 then sqrt(1+x)/(1+sqrt(1+x))+sqrt(1-x)/(1-sqrt(1-x))=

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

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

Differentiate (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

The minimum value of [x_1-x_2)^2 + ( 12 - sqrt(1 - (x_1)^2)- sqrt(4 x_2)]^(1/2) for all permissible values of x_1 and x_2 is equal to asqrtb -c where a,b,c in N , the find the value of a+b-c

(d)/(dx) {Sin ^(-1)"" ((5x + 12 sqrt(1- x ^(2)))/(12))}=