What is a left Riemann sum?

1 Answer
Sep 18, 2014

Left Riemann Sum (left endoints as sample points)

int_a^b f(x) dx approx sum_{i=1}^nf(a+(i-1)Deltax)Delta x,
where Delta x={b-a}/n

Right Riemann Sum (right endpoints as sample points)

int_a^b f(x) dx approx sum_{i=1}^nf(a+iDeltax)Delta x,
where Delta x={b-a}/n