Linked Questions

6
votes
2answers
545 views

How does Mathematica calculate integrals? [duplicate]

One can use mathematica to get $$ \int_{-\infty}^{\infty}\frac{\sin^2x}{x^2+1}\ dx=\frac{\pi \sinh 1}{e}. $$ Here are my questions: [Edited:] Is there a way that I can see the intermediate steps ...
0
votes
0answers
404 views

How to display detailed output in Mathematica [duplicate]

Possible Duplicate: Get a “step by step” evaluation in Mathematica How does Mathematica integrate? I want to display more detailed output from a calculation. The default command for calculation ...
0
votes
1answer
212 views

How is Integrate Implemented? [duplicate]

At the end of this 90 minute lecture by Stephen Wolfram on the history of the development of Mathematica, Wolfram takes questions from the audience. One of those questions asked how the ...
1
vote
0answers
55 views

Interested in knowing what substitutions were made to perform an Integrate[]? [duplicate]

Possible Duplicate: How does Mathematica integrate? Mathematica can perform the following integral with apparent ease (returning very fast with the result) ...
119
votes
6answers
124k views

Get a “step-by-step” evaluation in Mathematica

Is it possible in Mathematica to get a step-by-step evaluation of some functions; that's to say, outputting not only the result but all the stages that have led to it? If so, how does one do it? ...
5
votes
1answer
222 views

Is it possible to simulate a solved example in Wolfram for free, How?

How we can write the following Formula in Wolfram: The Fourier Series $$ f(x)=f(x+2\pi), f(x) =\left\{ \begin{array}{rcr} 1 & & -\pi <x<0 \\ \sin x & & 0<x<...
5
votes
1answer
307 views

Can we know the background code associated with basic mathematica functions

I wanted to know how computers calculate basic functions like Sqrt so first I checked how humans do it I found that they use something called "Newton's method" that ...
5
votes
1answer
220 views

Gradshteyn and Ryzhik tables

I was wondering if there were additional packages to enhance Mathematica's integration capabilities - for example by including more of Gradshteyn/Ryzhik/Zwillinger tables? Here is an example that ...
0
votes
0answers
184 views

Is there a way for me to get Mathematica show its steps? [duplicate]

I have seen similar questions but they were quite dated (3+ years). When performing, say an Integration, it would be beneficial to see the major steps such as variable substitution, change the order ...
3
votes
1answer
95 views

Integrate[] does not work when the function has an antiderivative function

This function (1 + (1 + 1/(2*Sqrt[x]))/(2*Sqrt[Sqrt[x] + x]))/(2*Sqrt[x + Sqrt[Sqrt[x] + x]]) has the antiderivative function, since ...