Question

TUTORIAL:

Taking request for a new tutorial. Most requested field or subject/topic wins.

Go.

Answer 1

I suggest a topic on integrals.

Answer 2

Me too

Answer 3

Integration by Parts?

Answer 4

integration

Answer 5

By parts anyone?

Answer 6

I would love to learn diferential integrals......... cause I have no idea about that. and have seen some other guys doing that

Answer 7

From the product rule \[\frac{\text d\left(uv\right)}{\text dx} = \frac{\text du}{\text dx}v+u\frac{\text d v}{\text dx}\]\[ \frac{\text du}{\text dx}v+u\frac{\text d v}{\text dx}=\frac{\text d\left(uv\right)}{\text dx} \]\[ \frac{\text du}{\text dx}v=\frac{\text d\left(uv\right)}{\text dx} -u\frac{\text d v}{\text dx}\]\[ \int v\frac{\text du}{\text dx}\text dx=\int\frac{\text d\left(uv\right)}{\text dx}\text dx -u\int\frac{\text d v}{\text dx}\text dx\]\[ \int{v\text du}=\left. {uv}\right| -u\int {\text d v}\]Integration by Parts

Answer 8

you could probably expand on this by discussing the strategies used in integrating the different combinations of functions.
i.e. integrat(xlnx) and so on..