Question

Is the LIATE rule for integration by parts correct?

Answer 1

Yes, that is the order

Answer 2

of choosing a function to differentiate

Answer 3

Does it always go? I'm a little hard to believe it always works.

Answer 4

Well, it is a suggestion for user that don't know intuitively - to tell them which function should they diffeentiate.

It is not a "rule" literally, as the "chain rule" - not to that extent a "rule".

Answer 5

just an advice...

Answer 6

I mean if you want:

\({\displaystyle \int} wx~dx=(\int w)\cdot(x)-{\displaystyle \int} (\int w)\cdot(x)'dx\)

\({\displaystyle \int} wx~dx=( wx)\cdot(x)-{\displaystyle \int} (wx)\cdot(1)dx~+C\)

by parts - comes from product rule, thus should have +C (because it comes from INTEGRATING both sides of the product of the deriavtive)

\({\displaystyle \int} wx~dx=( wx)\cdot(x)-{\displaystyle \int} wx~dx~+C\)

\(2{\displaystyle \int} wx~dx=( wx)\cdot(x)~+C\)

\(\displaystyle \int wx~dx=\frac{w}{2}x^2~+\frac{C}{2}\)

\(\displaystyle \int wx~dx=\frac{w}{2}x^2~+C\)

Answer 7

i did by parts on a wx (with respect to x)

Answer 8

Wow super nice.

Answer 9

tnx,n,yw O~O