I am having difficulty integrating
square root((1+x^3)) from x=0 to x=2
when n=4
I know the widths are 0,1/2,1,3/2,2
But I am having trouble setting it up.
Let $\displaystyle f(x)=\sqrt{1+x^2}$ and $\displaystyle \Delta=0.5$.
Left hand sum $\displaystyle \sum\limits_{k = 0}^3 {f\left( {k\Delta } \right)\Delta } $.
Right hand sum $\displaystyle \sum\limits_{k = 1}^4 {f\left( {k\Delta } \right)\Delta } $.
Mid-point hand sum $\displaystyle \sum\limits_{k = 0}^3 {f\left( {\frac{2k\Delta+\Delta }{2} \right)\Delta } $.