 Hi and welcome to the session. Let us discuss the following question. The question says evaluate the following integral of root x pi root x plus root a minus x from 0 to a. Let us now begin with the solution. Let i is equal to integral of root x pi root x plus root a minus x from 0 to a. We know that integral of f x from 0 to a is equal to integral of f a minus x from 0 to a. By using this property, we get i as integral of root a minus x by root a minus x plus root. Let us name this equation as equation number 1 and this as 2. On adding 1 and 2, we get a plus i equals to integral of root x pi root x plus root a minus x from 0 to a plus integral of root a minus x by root a minus x plus root x from 0 to a. This is equal to integral of root x plus root a minus x by root x plus root a minus x from 0 to a. This is equal to integral of 1 from 0 to a and this is equal to x where the lower limit is 0 and upper limit is a and this is equal to a minus 0 and this is equal to a. So 2i is equal to a and this implies i is equal to a by 2. Hence, our required answer is a by 2. So this completes the session. Bye and take care.