`int(2+sqrt(x))/((x+sqrt(x)+1)^(2))dx`

If f(x)=int(2+sqrt(x))/((x+1+sqrt(x))^(2))dx and f(0)=0 then the value of If (4)] is: (where [.] represents the greatest integer function)

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

" (1) "int(sqrt(x)-(1)/(sqrt(x)))^(2)dx

int(sqrt(x)-(1)/(sqrt(x)))^(2)dx

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

int(sqrt(x)-(1)/(sqrt(x)))^(2)dx

Evaluate the integral int(sqrt(x)+(1)/(sqrt(x)))^(2)dx

Evaluate the integral : int(sqrt(x)+(1)/(sqrt(x)))^(2)dx

Evaluate: (i) int(1-x)sqrt(x)dx (ii) int(sqrt(x)+(1)/(sqrt(x)))^(2)dx

int (x-(1)/(sqrt(x)))^(2)dx