What is the integral of #f(x)g(x)#?
1 Answer
May 19, 2018
There is no simple product rule for integration...
Explanation:
This appropriate and understandable question is almost certainly inspired by the product rule for differentiation, which tells us:
#(f(x) * g(x))' = f'(x) g(x) + f(x) g'(x)#
Unfortunately there is no such simple rule for integration.
For example, if
#int \ f(x) \ dx = ln x + C#
#int \ g(x) \ dx = e^x + C#
but
#int \ f(x) g(x) \ dx = Ei(x) + C#
where