" (a) "(1)/(sqrt((1+x)'+sqrt(x)))

int(1)/(sqrt(1+x)+sqrt(x))=

int(1)/(sqrt(1+x)+sqrt(x+3))dx

Differentiate tan^(-1) ((sqrt(1 + x) - sqrt(1 - x))/(sqrt(1 + x) + sqrt(1 - x))) w.r.t. x .

int_(0)^(1)(1)/(sqrt(1+x)-sqrt(x))dx

int_(0)^(1)(1)/(sqrt(1+x)-sqrt(x))dx

Evaluate: underset(0)overset(1)int(1)/(sqrt(1+x)-sqrt(x))dx

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

Write the simplest form : tan^(-1)( (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x) + sqrt(1-x))); (-1)/sqrt(2) le x le 1