Integration by Parts (2 of 3: How to choose u & dv)

[tambuwalmathsclass]

Sometimes using the Acronym LIATE while choosing u is so much helpful.

[AshleyBobLes]

Love the lesson Eddie. The DI method is really great also

[jd_]

Hi
We can also use
LATE
L: Logarithmic
A: Algebra
T:Trigonometric
E: exponential
As u
For instance in your example there was trigonometric(cosx) and algebra(x) so according to LATE u was taken as x

[jd_]

Its a good trick to know which one to take as u

[paesanng]

People used to say, "We let the polynomial be the guy we're differentiating as it'll eventually die down to 0."

[hueydo]

What about x^2*sqrt(x-10). It is easier to intergrate x^2 but we use dv for sqrt(x-10) to get the answer. Please help me with this as I am very confusing

[xxsamperrinxx]

What do you mean by for convenience sake when leaving out the +C