anonymous
  • anonymous
Find the derivative:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\frac{ d }{ dx }\int\limits_{x^2}^{x^3}e ^{t^2+t} dt\]
anonymous
  • anonymous
So I tried to use the fundamental theorem of calculus:
anonymous
  • anonymous
Is my work wrong?

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zepdrix
  • 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
anonymous
  • anonymous
Yeah we did. However apparently the professor said it's wrong...
zepdrix
  • zepdrix
Hmmmmmm
zepdrix
  • 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...
zepdrix
  • zepdrix
Oh, there shouldn't be a +C, maybe that's what he's fussing about? :o
anonymous
  • anonymous
There should be. It's an indefinite intergal.
zepdrix
  • 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.
anonymous
  • anonymous
Hmm good point.

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