Yet another quick integration plea for help :(

[RESmonkey]

Integrating:

(x^2)*(e^(-3x))dx

I've been integrating for a while, and I see a pattern. It never fully integrates though. What can I do with this pattern?

I don't think it's ever going to equal the initial problem like the sine and cosine ones do.

 

[Born2bwire]

Three things (though they aren't mutually exclusive) that pretty much solve any integration:
1. Chain Rule
2. Integration by Parts
3. Leibniz's Integration and Differentiation Rules

 

[RESmonkey]

But...

 

[Born2bwire]

They work. You only need two in this case.

 

[George P Burdell]

Originally posted by: RESmonkey
But...

"But me no buts." -Henry Fielding

 

[ColdFusion718]

This problem is an exercise for integration by parts. You will do this 3 times before you break down the x^2 component.