1. Show integrability

Show that $\displaystyle \int_0^1$$\displaystyle \frac{\sqrt(sin(x))}{\sqrt(sinx) + \sqrt(sin(1-x)},dx$ = 1/2 by using the definition of Riemann-integrability.

I'm not sure how to define my partitions. Appreciate anyone's help on this.

2. it ain't better to prove a more general result having integrability as long as you have a continuous function on a compact set?

3. Originally Posted by Krizalid
it ain't better to prove a more general result having integrability as long as you have a continuous function on a compact set?
Didn't we have here a continuous function in the compact set [0,1]?