`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_(2)^(7) (sqrt(x))/(sqrt(9-x)+sqrt(x))dx=(5)/(2)

int_(0)^(4)(3sqrt(x+5))/(3sqrt(x+5)+3sqrt(9-x))dx=

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

int_(0)^(2)(3^(sqrt(x)))/(sqrt(x))dx

int_(a)^(b)(sqrt(x))/(sqrt(x)+sqrt(a+b-x))dx= . . . .

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

int(a^(sqrt(x)))/(sqrt(x))dx

int_(a)^(b)(sqrt(x))/(sqrt(x)+sqrt(a)+b-x) =dx=......