# Integrating a power of e

1. Nov 14, 2009

### stevecallaway

1. The problem statement, all variables and given/known data

Needing to integrate 3ye^3z dz

2. Relevant equations

3. The attempt at a solution
I believe you use u substitution and u=3z du=3dz
Then you get yze^3z. Is this correct?

2. Nov 14, 2009

### LCKurtz

If you differentiate yze3z with respect to z do you get what you started with? I don't think so, but can you fix it?

3. Nov 14, 2009

### tnutty

>>Then you get yze^3z. Is this correct?
No completely, you have an extra factor of z

4. Nov 14, 2009

### stevecallaway

I believe differentiating ye^3z with respect to z will give 3ye^3z. Therefore, integrating 3ye^3z dz will be ye^3z. Correct?

5. Nov 14, 2009

### tnutty

Yes.

6. Nov 14, 2009

### stevecallaway

Sweet,thanks to the both of you