Calculating area under curve from x, y coordinates
As was mentioned, using the Trapezoid Rule the function is rather simple
def integrate(x, y):
sm = 0
for i in range(1, len(x)):
h = x[i] - x[i-1]
sm += h * (y[i-1] + y[i]) / 2
The theory behind is to do with the trapezoid area being calculated, with the use of interpolation.
area under the curve between two troughs rather than integrating between the two points
You could use the
abs value for the function.
Is the same of
divide Y into negative and non negative groups and do the integral for
each group separately
but more fastly.
Mathematically it should work ... but i don't know if this is whath you want.
Hope it's helpful. :)
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