integration question

Integration is not straight forward as derivatives, so it needs experience to solve it. Can anyone make a table of what are the possible situations and how to solve them?

Ie:

1) integral of product of two functions where one is the derivative of the other
2) integral of product of two functions where .....

etc

thanks!

You may be interested in the Risch algortihm.

give an example as I am not sure what exactly you want

Probably not.



He wants a checklist to go through so he knows what technique to use. IBP, substitution for something else.

all yours then ...

You're the teacher. Don't you have a resource with the common type of A level integration techniques listed? I just stare at the problem and hope for the best. Generally I'm okay.

integration is an art !!
not a flow chart ...

How do online integrators work? Surely there MUST be an algorithm/flowchart.

humans are not line integrators ... and that is why humans can integrate expressions which a computer fails

I suppose that's true but for the ones they can integrate there must be a set of instructions musn't there. It would be interesting to know for us, who don't have the art, but also understanding that we cannot progress any further than painting by numbers.

I sincerely cannot help.