8.37.2 Greatest hits from previous weeks

8.37.2.1 How can I plot a graph of an integral?
8.37.2.2 How to make Jacobian automatically in Mathematica
8.37.2.3 How can I plot implicit equations?
8.37.2.4 xkcd-style Plots
8.37.2.5 Conversion of Sine to Cosine
8.37.2.6 Where can I find examples of good Mathematica programming practice?
8.37.2.7 $\LaTeX$ and Mathematica
8.37.2.1 How can I plot a graph of an integral?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=78451

I want to plot the following function: 
 
$$\int \left(\frac{\Gamma (x+1)}{2}-\frac{\Gamma (x-1)}{2}\right) \, dx$$ 
[plotting]
 
asked by Anixx https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=651 Score of 4
answered by k_v https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=24727 Score of 10
8.37.2.2 How to make Jacobian automatically in Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=5790

If we have two vectors, $a$ and $b$, how can I make Jacobian matrix automatically in Mathematica? 
 
$$ a=\left( 
\begin{array}{c} 
x_1^3+2x_2^2 \\ 
3x_1^4+7x_2 
\end{array} 
\right);b=\left( 
\begin{array}{... 
[vector-calculus]
 
asked by George Mills https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1012 Score of 41
answered by Jens https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=245 Score of 57
8.37.2.3 How can I plot implicit equations?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=34668

If you enter the following into Wolfram | Alpha, you get nice graphs: 
 
 graph 4 x^4 + y^2 = 2 
 
How do you do this in Mathmatica? I realize that these are not ... 
[plotting] [faq]
 
asked by Rollie https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10174 Score of 42
answered by Timothy Wofford https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9391 Score of 44
8.37.2.4 xkcd-style Plots

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=11350

I received an email to which I wanted to respond with a xkcd-style graph, but I couldn't manage it. Everything I drew looked perfect, and I don't have enough command over ... 
[plotting] [generative-art]
 
asked by Amatya https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2039 Score of 636
answered by Simon Woods https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=862 Score of 500
8.37.2.5 Conversion of Sine to Cosine

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=67521

I'm solving equations with many Cosines and Sines. 
And I want to convert all the Sines to Cosines using trigonometric formulas such as cos(x)=sin(x+pi/2). 
How can I do this? 
[trigonometry] [conversion]
 
asked by YongCheol Kwon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=23041 Score of 5
answered by Sjoerd C. de Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=57 Score of 2
8.37.2.6 Where can I find examples of good Mathematica programming practice?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18

I consider myself a pretty good Mathematica programmer, but I'm always looking out for ways to either improve my way of doing things in Mathematica, or to see if there's something nifty that I haven't ... 
[reference-request] [programming]
 
asked by J. M.'s persistent exhaustion https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=50 Score of 590
answered by faysou https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=66 Score of 517
8.37.2.7 $\LaTeX$ and Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=736

I quite often would like to draw graphics in my $\LaTeX$ documents using Mathematica. I have encountered three problems. I would like to know if there are any workarounds to these problems 
 
I would ... 
[graphics] [export] [latex]
 
asked by Thomas Rot https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=227 Score of 137
answered by Simon https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=34 Score of 47