Let

Let √x=t

⇒

or

dx=2tdt.

When, x=0, t=0

and when x=1, t=1.

Hence,

Using integration by parts, we get

Let t=sin y

⇒ dt=cos y dy.

When t=0, y=0, when t=1, .

….. (1)

Using, , we get

…..(2)

Adding (1) and (2), we get

Hence,