Find the centroid of the region bounded by the graphs of the functions y=2sin⁡(x)\displaystyle {y}={2}{\sin{{\left({x}\right)}}}, y=15x\displaystyle {y}=\frac{{1}}{{5}}{x}, and x=π2\displaystyle {x}=\frac{\pi}{{2}}, and touching the origin.

The centroid is at (x‾,y‾)\displaystyle {\left(\overline{{x}},\overline{{y}}\right)} where:

x‾=\displaystyle \overline{{x}}=  

y‾=\displaystyle \overline{{y}}=  

License