Hands-on: Numerical integration
We continue studying vectorized operations with numerical integration.
Source code for this exercise is located in numpy/integration/
A simple method for evaluating integrals numerically is by the middle Riemann
sum
[S = int_a^b f(x) dx = sum_{i=1}^n f(x’_i) Delta x]
with
[x’_i = (x_i + x_{i-1}) / 2 ; x_0 = a, x_n = b]
Calculate the integral in the interval [0,π/2] and investigate how much the
Riemann sum of sin differs from 1.0. Avoid for loops. Investigate also how the results changes with the choice of Δx.
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