Tagged Questions

Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

479 views

Compute inverse Laplace transform with Integrate

Since inverse Laplace transform is just an integral, while we already have InverseLaplaceTransform built in, can we compute it with ...
64 views

Multiplying two sets of data (x,y values, but different x density) followed by integration of the product

I've been trying to do this by myself today, but no luck yet. Please, see attached image. Basically, I do have two data sets A (x1,y1) and ...
334 views

Integrate fails for generic parameters but works for any specific values (v. 10.0.x bug)

Bug introduced in 9.0 and fixed in 10.1 I was trying to get the following integral ...
132 views

Limit of a sum as number of terms approaches ∞

Is it possible to find the limiting value of function at large N? ...
566 views

From a first principles bandstructure calculation I get an energy scalar field in three dimensions $E(x,y,z)$. It's now easy to plot a constant energy (contour)-surface for dedicated values $\epsilon=... 2answers 162 views Strange results from evaluating a simple integral I am trying to do a seemingly simple integral in Mathematica 10 and am getting strange results: ... 1answer 297 views Contour Integration along a contour containing two branch points I need to compute following contour integrations: $$f(u)=\oint_\alpha dz \sqrt{z^3+z+u} \qquad ; \qquad g(u)=\oint_\beta dz \sqrt{z^3+z+u}$$ In which$\alpha$and$\beta$are two contours in ... 2answers 134 views Imaginary terms in the derivative of Jacobi theta function (2) on the real line I am trying to calculate/plot the derivative of the second Jacobi theta function$d\theta_2(0, e^{-\pi t} )/dt$. Calculating or plotting the function itself works fine: ... 0answers 114 views How do I numerically integrate over a data set that has uncertainties? [closed] I have a 1D data set {xi, yi} with no uncertainties in xi and with uncertainties dyi in yi. The resulting discrete function is monotonic and relatively smooth and I would like to integrate the ... 2answers 64 views Integrating expressions with several terms and delta functions So I want to integrate an expression that looks something like this: Integrate[f[x]+DiracDelta[x-y]g[x],{x,-Infinity,Infinity}] With some more terms added with ... 1answer 97 views Forcing Exact Outputs for Integrate [closed] I'm trying to compute the following triple integral: ... 1answer 138 views Partial derivative of defined function with vector input Background: Have written a formula for the refractive index for a glass slab (n) that depends on the variables t,a and d. Now I want to calculate for example some sort of error and I'll be needing to ... 1answer 75 views Boundary condition not correctly imposed for NDSolve I notice that when plotting the below NDSolveValue ... 1answer 91 views an Integral that should be doable: Integrate[Cos[\[Beta]] Exp[I z Cos[\[Beta] - \[Alpha]]], {\[Beta], 0, 2 \[Pi]},Assumptions -> z \[Element] Reals] correct answer is [ I think ]: ... 1answer 263 views Why don't products of Dirac deltas integrate correctly? Bug introduced in 10.0.0 and fixed in 10.0.1 The integral$\int \int \ \delta(x) \delta(y) \ dx dy=1$evaluates to 0 in Mathematica ... 1answer 108 views Strange Integrate messages /$RecursionLimit being ignored

Bug introduced in 10.1.0 and fixed in 10.2.0 The following behavior was observed in Mathematica 10.1 (Windows 64 bit) When attempting to evaluate the following integral, Mathematica outputs ...
95 views

Fix my code to return a table of values

Here is a “procedural” program that we wrote in my class, implementing the rectangle rule of numerical integration: ...
61 views

It is possible to calculate a two vector integral

I have this problem: calculate the integral of: -1+Sqrt[2*d+1] with d being a distance of two points in a 60$\times$60 box (...
450 views

many indefinite integrals do not evaluate in 10.1, looking for the cause

Bug introduced in 10.1 and fixed in 10.2 Many integrals no longer evaluate in V 10.1 when they did in 10.0.2 Here are some 23 integrals as an example, that all produced results in V 10.0.2, but ...
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Calculus with Mathematica, books, interesting examples [duplicate]

I'm looking for a book where I could find informations and interesting examples regarding examine functions of one variable like continuity of functions, limits, differentiability in Mathematica. I'd ...
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Mathematica does not help in this integral

I am trying to solve this integral with assumptions: ...
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Computing integral involving derivatives

I want to evaluate an expression $\int_C g(\nabla f)ds$. This is an integration along a curve $C$ in a plane given as a function of some parameter $s$: ...
71 views

Can't obtain a closed form expression for an integral

I am trying to find the result of quite a complicated double integral. While the first part (being a Principal value integral) gave no particular problems, the second one is not providing any closed ...