can now generate an arbitrary constant for indefinite integrals. While this is a part of standard calculus, the arbitrary functions that appear in higher dimensions for multiple integrals, sums and products may be surprising at a first glance.
Generate an arbitrary constant for an indefinite integral:
In[1]:=
Integrate[x,x,GeneratedParametersC]
Out[1]=
2
x
2
+
1
This represents a family of curves in the plane:
In[2]:=
Plot[Evaluate[{%/.Table[{
1
i},{i,{2,7,11,18}}]}],{x,-5,5}]
Out[2]=
Generate arbitrary functions for a multiple indefinite integral: