Question

How do you Use a Riemann sum to approximate the area under the graph of the function `y=f(x)` on the interval `[a,b]`?

Answer 1

We can approximate the definite integral

`\int_a^b f(x) dx`

by the left Riemann sum

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