Find the derivative:

Question

anonymous · Answer

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

anonymous · Answer

So I tried to use the fundamental theorem of calculus:

anonymous · Answer

Is my work wrong?

zepdrix · Answer

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

anonymous · Answer

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

zepdrix · Answer

Hmmmmmm

zepdrix · Answer

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...

zepdrix · Answer

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

anonymous · Answer

There should be. It's an indefinite intergal.

zepdrix · Answer

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.

anonymous · Answer

Hmm good point.