## Dido525 3 years ago Find the derivative:

1. Dido525

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

2. Dido525

So I tried to use the fundamental theorem of calculus:

3. Dido525

Is my work wrong?

4. zepdrix

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

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

6. zepdrix

Hmmmmmm

7. zepdrix

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

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

9. Dido525

There should be. It's an indefinite intergal.

10. zepdrix

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

Hmm good point.