Integration by parts

Question 1

What order do you need to remember for integration by parts?

Answer 1

L (Logarithm)
A (Algebra)
T (Trigonometry)
E (Exponential)

Question 2

How would you integrate ∫ln x dx ?

Answer 2

make ∫lnx dx into a product
= ∫1 x lnx dx
then use integration by parts
L comes first so u = lnx, du/dx = 1/x
dv/dx=1, v=x