Chapter B, Problem 31E

To determine

To fill: The blank with the symbol $<,>\text{ or }=$ in the statement ${\displaystyle \sum _{i=1}^{n}f\left(x_i\right)\Delta x}\_\_\_\_\_{\displaystyle \underset{1}{\overset{5}{\int }}f\left(x\right)dx}$ using the figure

And, also explain the reasoning.