# integration questionWatch

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#1
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!
0
3 years ago
#2
(Original post by studos)
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!
give an example as I am not sure what exactly you want
0
3 years ago
#3
You may be interested in the Risch algortihm.
0
3 years ago
#4
(Original post by NotLandau)
You may be interested in the Risch algortihm.

Probably not.

(Original post by TeeEm)
give an example as I am not sure what exactly you want
He wants a checklist to go through so he knows what technique to use. IBP, substitution for something else.
0
3 years ago
#5
(Original post by Kvothe the arcane)
Probably not.

He wants a checklist to go through so he knows what technique to use. IBP, substitution for something else.
all yours then ...
0
3 years ago
#6
(Original post by TeeEm)
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.
0
3 years ago
#7
(Original post by Kvothe the arcane)
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 ...
2
3 years ago
#8
I usually advise students to contemplate the possibility of employing easier direct methods before considering substitution or integration by parts. Just because an integral looks sophisticated doesn't mean you need to sacrifice half of all available brain cells. Hope this is useful. Peace.

0
3 years ago
#9
(Original post by TeeEm)
integration is an art !!
not a flow chart ...
How do online integrators work? Surely there MUST be an algorithm/flowchart.
0
3 years ago
#10
(Original post by maggiehodgson)
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
0
3 years ago
#11
(Original post by TeeEm)
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.
0
3 years ago
#12
(Original post by maggiehodgson)
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.
0
3 years ago
#13
(Original post by TeeEm)
I sincerely cannot help.
It doesn't matter. I just joined in the conversation because I too have also often wished for a set of rules. I suppose question, question and more question does the trick in due course.

Thanks for your replies. The quest for the "Holy Grail" can stop now. hahaha
1
3 years ago
#14
Please practice instead of memorising a set of instructions. That way techniques will come intuitively and you won't have to refer to a memorised flowchart. Maybe take a look at a few worked examples to get an idea?
0
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