Integration by parts for ∫t ln(t) dt

[alexis36]

Homework Statement

Integrate the following:

Homework Equations

tln(t)dt

The Attempt at a Solution

if i do intergration by parts:
u=t
u'=1
v'=ln(t)
v=1/x
and then use the formule, would that give me a correct answer?
Is there a simpler way?

 

[awvvu]

The antiderivative of ln(t) is not 1/t. That's the derivative.

When you have both a logarithm and polynomial term, make u the log term and dv be the polynomial.

 

[rocomath]

Switch your substitutions, and it's solved.