1. Riemann Sum

Use a Riemann sum to approximate the area under the graph of f(x) on the given interval with the selected points as specified.

f(x) = x^2, 1 x ≤ 3, n = 4, Midpoint Rectangle Approximation Method

2. Originally Posted by bearej50
Use a Riemann sum to approximate the area under the graph of f(x) on the given interval with the selected points as specified.

f(x) = x^2, 1 x ≤ 3, n = 4, Midpoint Rectangle Approximation Method
$\int_a^b f(x) \, dx \approx \frac{b-a}{n}\left[f\left(\frac{x_0+x_1}{2}\right) + f\left(\frac{x_1+x_2}{2}\right) + ... + f\left(\frac{x_{n-1}+x_n}{2}\right)\right]$