Integrate a function depending on two arrays

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Initially, I have two arrays that correspond to the values of x and y in a function, but I don't know that function, I just know that the values of y depend on x. Then, I calculate a function that depends on both arrays.

I need to calculate in python the integral of that last function to obtain the total area under the curve between the first value of x and the last. Any idea of how to do that?

x = [array]
y(x) = [array]

a = 2.839*10**25
b = 4*math.pi
alpha = 0.5
z = 0.003642
def L(x,y,a,b,alpha,z):
    return x*((y*b*a)/(1+z)**(1+alpha))
integration arrays python
1 Answers

Your function is a function of x (in that given a value of x it spits out a value), so first you should repackage it as such (introduce a function yy which, given x, produces the requisite y), then write LL(x) = L(x, yy[x]), then use scipy.integrate to integrate it.

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