Integral of xneax
The integral of xneax can be easily integrated by parts to produce a
reduction formula that can also be expressed as a simple summation formula. More important is that the
result can be used to evaluate many other difficult and cumbersome integrations that do not otherwise
produce formulas with obvious general expressions.
| For n > 1, continue expanding... |
There are n+1 terms.
The eax term can be factored out and the result can be expressed as
|| xn eax dx
which is similar to the Incomplete Gamma function. It is not my intention
to go beyond this form of the series.