`int_0^a(sqrt(a-x)/(sqrt(x)+sqrt(a-x)))dx=?`.

Evaluate of each of the following integral: int_0^a(sqrt(x))/(sqrt(x)+sqrt(a-x))dx

int(dx)/(sqrt(x)sqrt(5-x))

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

int_(0)^(a)(sqrt(x))/((sqrt(x)+sqrt(a-x)))dx=(a)/(2)

By using the properties of definite integrals, evaluate the integrals int_(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x))dx

int(sqrt(x))/(sqrt(x)+sqrt(6-x))dx

Prove that : int_(0)^(a) (sqrt(x))/(sqrt(x)+sqrt(a)-x)dx=(a)/(2)

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

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

int_(0)^(7)(sqrt(7-x))/(sqrt(x)+sqrt(7-x))dx = (a) 1 (b) (7)/(2) (c) 5 (d) 7