Integrating x^2e^-3lnx: Tips and Tricks for Solving Tricky Integrals

[shseo0315]

Homework Statement

int((x^2)(e^-3lnx))

anyone tips for this?

Homework Equations

The Attempt at a Solution

 

[Dickfore]

Hint:

$$e^{-3 \, \ln{(x)}} = e^{\ln{(x^{-3})}} = ?$$

 

[shseo0315]

Hint:

$$e^{-3 \, \ln{(x)}} = e^{\ln{(x^{-3})}} = ?$$

now I get int (x^2)(e^(1/x^3)) then? stuck here

 

[Dickfore]

You are wrong. What does $e^{\ln{y}}$ equal to? Use the property that the (natural) logarithm is the inverse function of the (natural) exponential function.