Is This Solution to the Integral and Series Problem Correct?

[bengaltiger14]

Homework Statement

Evaluate the integral 3x^2e^xdx

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?

 

[ice109]

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

 

[HallsofIvy]

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

 

[ice109]

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

hey now, fundamental theorem shmeorom :tongue:

hey ivy check it out

http://x018.uploaderx.net/x/741_untitled.JPG