# A few homework problems

1. Jul 28, 2007

### bengaltiger14

1. The problem statement, all variables and given/known data
Evaluate the integral 3x^2e^xdx

3. The attempt at a solution

I used integration by parts twice and came up with:

3x^2e^x-6xe^x+6e^x+C

Does that look correct.

Another question ask for a divergent series whose terms go to 0.
The harmonic series 1/n (with infinity on top of summation and n=1 on bottom) fits that criteria correct?

2. Jul 28, 2007

### ice109

1. google the integrator and check
2. yes you are correct

3. Jul 28, 2007

### HallsofIvy

Staff Emeritus
Even more simply, differentiate (3x2- 6x+ 6)ex+ C and see what you get!

4. Jul 28, 2007

### ice109

Last edited: Jul 28, 2007