Using properties evaluate the following definite integrals,
evaluate the following: `int_0^a sqrtx/(sqrtx+sqrt(a-x)) dx`

Explanation

Let I = int_0^a sqrtx/(sqrtx + sqrt(a-x) dx` ___ (a)
Then I = `int_0^a sqrt(a-x)/sqrt(a-x)+ sqrt(a-(a-x)) dx`
=`int_0^a sqrt(a-x)/(sqrt(a-x)+sqrtx) dx` ____(b)
(a)+(b) `gt 2I = int_0^a dx`
=`[x]_0^a = a-0 gt I = a/2`