I=int(dx)/(sqrt(x+1)-sqrt(x))

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

I=int(2)/(sqrt(x)-sqrt(x+7))dx

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

int(dx)/[sqrt(x)(sqrt(x)-1)]

Integration of certain irrational functions with the aid of trigonometric or hyperbolic substitutions I=int(dx)/((1+sqrt(x))sqrt(x-x^(2))).

Evaluate: (i) int(5x+3)sqrt(2x-1)dx (ii) int(x)/(sqrt(x+a)-sqrt(x+b))dx

(i) int(1)/(5x+1)dx " "(ii)int(1)/(sqrt(x+1+)sqrt(x))dx

(i) int(1)/(5x+1)dx " "(ii)int(1)/(sqrt(x+1+)sqrt(x))dx

(i)int(1)/(sqrt(x+1)+sqrt(x+2))dx

If I=int (dx)/(sqrt(x+sqrt(x+sqrt(x+......oo))))=......