![]() ![]() Sadly, my python knowledge is not sufficient to find out how to solve this. I can see that there's a problem with feeding the integration function a whole array of integration limits and that the piecewise function then has a problem determining what function it should give back to the integration function. Mathematically, i want to calculate mass(r) = ∫ from 0 to r (4*pi*density(x)*x 2) dx. ValueError: The truth value of an array with more than one element is ambiguous. Mass = lambda r: integrate.quad(lambda t: 4*np.pi*density(t)*t**2, 0, r) Note: This works because discont is able to determine the potential discontinuities of piecewise functions. Need to calculate the domain and range of a graphed piecewise. The key idea is to split the integral up. where Si(x) is the Sine integral function. Evaluate definite integrals of piecewise functions. I can calculate and plot my density, hooray! Now, the tricky part is that i want to integrate this density function to obtain the mass function m(r) at a given r (using ): import scipy.integrate as integrate This page goes through an example that describes how to evaluate the convolution integral for a piecewise function. ![]() ![]() The concept of revolving a region about an axis is fundamental to integral calculus. The way to think about integrating these types of functions is by thinking of them as a sum. Plt.plot(t, (density(t)/density0), 'b', label=r'$density / \rho0$') students determine the volume and surface area of three-dimensional. Indefinite integrals of floor, ceiling, and fractional part functions each have a closed form, but this condition might not hold sometimes, and it's way easier to not try to find the definite integral but directly proceed to solve the indefinite integral. As the title says, i have a piecewise function density(r) in python which is defined in three regions r= r1)
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