4.32.2 Greatest hits from previous weeks

4.32.2.1 How to manipulate 2D plots?

https://mathematica.stackexchange.com/questions/7142/how-to-manipulate-2d-plots

 
When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details  ...
 

- asked by István Zachar (122 votes), answered by István Zachar (137 votes)

4.32.2.2 Mathematica erroneously says this integral does not converge

https://mathematica.stackexchange.com/questions/144965/mathematica-erroneously-says-this-integral-does-not-converge

 
Mathematica (as of v. 11.1.0) does not recognize that this special case of Frullani's integral converges: 
 
Integrate[(ArcTan[a*x] - ArcTan[b*x])/x, {x, 0, Infinity}] 
(* Integrate::idiv: Integral of  ...
 

- asked by Pillsy (14 votes), answered by Michael E2 (20 votes)