Distributed Force

A distributed force is semi$-$elliptical in shape up for the first $5$ m $,$ and then semi$-$elliptical down for the next $5$ m across a $10$ m beam. The loading function $w(x)$ starts at $15\frac{N}{m}$ at $x=0,$ peaks at $20\frac{N}{m},$ and returns to $15\frac{N}{m}$ at $x=5.$ It then goes down

to $10\frac{N}{m}$ before rising back to $15\frac{N}{m}$ at $x=10m.$

Determine the magnitude of the equivalent resultant force, and its location measured from $x=0.$