Does anyone know of any good sites for integration and integration by parts?
Author
Hi, I'm learning Calculus and I'm doing ok so far, but Integration by parts is a little tough.
Google gave me this.
Basically you use it when you've got an integral of a product of two things, one of which is easy to integrate but the other of which is not.
Basically you use it when you've got an integral of a product of two things, one of which is easy to integrate but the other of which is not.
Integration by parts is just the reverse of the chain rule:
d(u*v) = d(u)*v + u*d(v)
integrated and re-arranged:
I(u * d(v)) = u*v - I(d(u) * v)
That's how I remember it. As for implementing it, fractoid is right...find:
(the tough to integrate part)*(the easy to integrate part)
and use:
d(v) = (the easy to integrate part)
sorry for my use of d() to signify d()/dx...I know real mathematicians are rolling in their graves (at least the dead ones who frequert GameDev [8^)
d(u*v) = d(u)*v + u*d(v)
integrated and re-arranged:
I(u * d(v)) = u*v - I(d(u) * v)
That's how I remember it. As for implementing it, fractoid is right...find:
(the tough to integrate part)*(the easy to integrate part)
and use:
d(v) = (the easy to integrate part)
sorry for my use of d() to signify d()/dx...I know real mathematicians are rolling in their graves (at least the dead ones who frequert GameDev [8^)
Lets keep this discussion to be references to external websites, not a tutorial. There are websites dedicated to math education, and this is NOT one of them!
Try the Forum FAQ, which points to some math education sites.
Try the Forum FAQ, which points to some math education sites.
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