How do I evaluate [math]\displaystyle\int_{-1}^{5} |x-3|\, dx[/math]
How do I evaluate [math]\frac{\displaystyle\int_{0}^{\pi /2}(\sin x)^{\sqrt {2}+1}\,dx}{\displaystyle\int_{0}^{\pi /2}(\sin x)^{\sqrt {2}-1}\,dx}[/math]  without using Gamma function?