All Questions
Tagged with calculus-and-analysis piecewise
69
questions
1
vote
2
answers
414
views
Integration over a (non-parametric) curve defined by indicator function
I want to integrate the real function myFun defined on a 2D plane over the line locus, defined as the solution of a set of ...
- 572
2
votes
0
answers
545
views
Integration of UnitStep or HeavisideTheta
I am using Mathematica 9.
If I evaluate
Integrate[Piecewise[{{1 - r, r > 0 && r < R}}, 0], r]
then I get
...
- 121
3
votes
2
answers
8k
views
Integrating a Simple Piecewise Function
If I define
f[x_]:=If[x<0,-1,1]
and then integrate,say
Integrate[f[x],{x,-3,7}]
I get what I expect, namely 4.
But ...
- 328
5
votes
3
answers
504
views
Creating a function with integral zeroes of the 0th, 1st, and 2nd derivatives
I would like to be able to randomly generate functions, each of which satisfies
$f : [-10, 10] \rightarrow [-10, 10]$
All the zeroes, critical points, and inflection points have an integral $x$-...
- 369
6
votes
1
answer
941
views
Using Boole to integrate over region
I have a complex and long piecewise function to integrate, so I have written a Mathematica script that cuts the whole range of integration, evaluates the integrand in each region and then integrates ...
- 572
6
votes
2
answers
658
views
Using units and piecewise functions in Integrate
For simple cases, Quantities appear to be handled well by Integrate:
...
- 625
1
vote
1
answer
575
views
3
votes
3
answers
1k
views
Why does the first derivative of a piecewise continuous function have discontinuities?
I have this piecewise continuous function which is also continuously differentiable over time :
...
- 1,035
0
votes
1
answer
238
views
Different expressions for an integral if I split the region of integration
Consider the assumptions
...
- 572