## Dido525 Group Title Find the derivative: one year ago one year ago

1. Dido525 Group Title

$\frac{ d }{ dx }\int\limits_{x^2}^{x^3}e ^{t^2+t} dt$

2. Dido525 Group Title

So I tried to use the fundamental theorem of calculus:

3. Dido525 Group Title

Is my work wrong?

4. zepdrix Group Title

Hmmmm no, it looks correct :O Didn't we just go over this problem like last week? XD Maybe that was someone else. heh

5. Dido525 Group Title

Yeah we did. However apparently the professor said it's wrong...

6. zepdrix Group Title

Hmmmmmm

7. zepdrix Group Title

Mmmmmmmm nope you did it correctly, even wolfram agrees. http://www.wolframalpha.com/input/?i=%28d%2Fdx%29+integral_%7Bx%5E2%7D%5E%7Bx%5E3%7De%5E%7Bt%5E2%2Bt%7D+dt Maybe the teacher wrote it down wrong or something...

8. zepdrix Group Title

Oh, there shouldn't be a +C, maybe that's what he's fussing about? :o

9. Dido525 Group Title

There should be. It's an indefinite intergal.

10. zepdrix Group Title

Why would you say it's indefinite? :o even though the limits are variables, they are certainly definite. :D So ANY constant that shows up, will end up being subtracted when you take away the value evaluated at the lower limit.

11. Dido525 Group Title

Hmm good point.