1. Mathematica Definite integral with some unknown variables

I am trying to evaluate an integral with unknown variables ##a, b, c## in Mathematica, but I am not sure why it takes so long for it to give an output, so I just decided to cancel the running. The integral is given by, ##\int_0^1 dy \frac{ y^2 (1 - b^3 y^3)^{1/2} }{ (1 - a^4 c^2 y^4)^{1/2} }##

21. Mathematica Plotting with base 10 as the interval

I want to plot a function f(x) such that it's domain is from 1 to 10000 but I want the graph to read 1, 10, 100, 1000, 10000 in the x-axis, while the y-axis is normal. ##f(x) = 2\sin^{-1} ( e^{-\frac{60}{x}})##
22. I Hubble term versus inflaton

From cosmology, ##H^2 = \frac{ρ}{3M_p^2} = \frac{1}{3M_p^2}(½\dot φ^2 + ½m^2φ^2)## Suppose ##V(φ) = ½m^2φ^2## where ##ρ## = density ##M_p## = planck mass I want to graph ##H## vs. ##φ## but there is a ##\dot φ## and I know this is a differential equation, can somebody help me what to do here?
23. Mathematica Numerical Simulations

I'm very new to Mathematica/programming and I want to do a theoretical calculation using Mathematica, suppose I have, ##Y=CX,~~~C=constant## Now, I want to plot Y vs. X but X should run at every point since every point is a solution for Y, how should I do this? Before, I was thinking maybe I...
24. Declare a Commutation Relationship in FeynCalc

Homework Statement I am a rookie to the QFT extension in Mathematica called FeynCalc, and tried to use that into solving some quiz. Soon I met a problem upon some condition presented in a problem which declares an relation of two same tensor with different indices results in some value when...
25. Mathematica Graph Plotting Problem in Mathematica

Hello to all. I've been trying to plot some graphs on Mathematica but I have faced some troubles so far. I am working on this paper by Lattimer on binary systems: https://arxiv.org/abs/astro-ph/0002203 I am trying to reproduce Figure 11 but something seems to go wrong. Here's what I have...
26. Curvature using Mathematica

Homework Statement Use Mathematica to calculate the Gaussian curvature of the plane Ax+By+Cz=D, in which A, B, C, and D are constants and C≠0. Use the following data: Homework Equations The Attempt at a Solution First I found the line curvature. As here: That code gets the result...
27. Physics Why wouldn't astronomers use Mathematica?

Mathematica is fully functional for daily astronomy data analyzing works, and it is much more convenient than python, so why can't them use Mathematica instead of python? It's like when you have warp drive you still travel through space using chemically powered traditional rockets, which is...
28. Mathematica Trying to define a integrating function in Mathematica

I need to define a function that integrates a function in some interval and returns its numerical value. I am not allowed to use built in functions for integrating in Mathematica. This is my code that won't work: http://pokit.org/get/?93856fe8f2070ba781028f8634b9ac3a.jpg This is a code from a...
29. Mathematica How to remove I.0 from output?

As I found on many websites, they suggest to use Chop[]. I tried that already but it doesn't work. This is my output. {{2 (Conjugate[ I.0] I.0 + (Conjugate[I.0] + Conjugate[Subscript[v, 1]]/Sqrt[ 2]) (I.0 + Subscript[v, 1]/Sqrt[2])) Subscript[\[Lambda], 1] (Conjugate[I.0]...
30. Mathematica Numerical vs. Monte-Carlo Simulations

I have an integration that doesn't have a solution in the table of integrals. So, I evaluated it using Mathematica using the command NIntegrate. However, when I compare the result with Monte-Carlo simulations, there is a very small constant gap between the two curves. Is it because of the...