#mathematic #calculus
# [[Epistemic status]]
#shower-thought #to-digest
# Related
> [!TODO] Related
> [[Mathematical paradoxes]]
[[velocity Verlet - Leapfrog Integration - Wikipedia]]
[[Do calculus]]
[[Lambda calculus]]
# TODO
> [!TODO] TODO
# Integration
$\int_{a}^{b}f(x)dx \approx \texttt{trapezoid}(f, a, b, n)$
```jupyter
def trapezoidal(f, a, b, n):
h = float(b-a)/n
result = 0.5*f(a) + 0.5*f(b)
for i in range(1, n):
result += f(a + i*h)
result *= h
return result
from math import exp
v = lambda t: 3*(t**2)*exp(t**3)
n = 4
numerical = trapezoidal(v, 0, 1, n)
numerical
```