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

If int_(0)^(1)(1)/(sqrt(x+1)-sqrt(x))dx=(a(sqrt(2)))/(3) , then a =

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

If int_(0)^(b)(1)/(sqrt(1+x)-sqrt(x))dx=(2)/(3)(2sqrt(2)) , then b =

Evaluate the following integrals (vi) int_(0)^(1) (1)/(sqrt(x+1)+sqrt(x))dx

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

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

int_(0)^(1)(dx)/(3sqrt(x))

int_(0)^(2)(1)/(sqrt(x))dx

If int_(0)^(1)(1)/(sqrt(3+x)+sqrt(1+x))dx=a+b sqrt(2)+c sqrt(3) ,where a,b,c are rational numbers, then 2a+3b-4c , is equal to: