Some integrals that could be implemented in SymPy:

integrate((A1*x**a+B1*x**b+C1*x**c)**d)

for all values of constants A1,B1,C1,a,b,c,d (Hypergeometric?)


multidimensional Laplace transforms, like in Network Theory etc.


Collection of Integral Tables using a differentiation Table of All-
combination function table

(Any mapping is a function, like Constant,+,-,*,/,**,sin,1/x,...   All
mappings are numbered. All combinations are then listed in
differentiation Table (as number trees. Argument places are also
number trees.
Integral Tables are collected as linear combinations of the
differentiation Table. This makes it easy to handle all parameter
value cases.)

Multidimensional Integral Tables. (Similar way)

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