Compute $\int_0^{10} xg''(x)\,dx$
using this the values g(x): (0,20), (2,10), (4,5), (6,19), (8,17), (10,2)
g'(x): (0,-9), (2,-2), (4,9), (6,10), (8,0), (10,-4)
By integration by parts, $\int_0^{10} xg''(x) dx = 18$.