Check my answer on this derivative of an integral problem? Just learned how to do this, and I would love for someone to make sure I did this next problem correctly!

Question

anonymous · Answer

find $$\int\limits_{x^2}^{x^3} \cos(2t) dt$$

anonymous · Answer

I got this:

solomonzelman · Answer

finjd dy/dx of that integral.

solomonzelman · Answer

you meant

anonymous · Answer

yes

solomonzelman · Answer

go ahead...

anonymous · Answer

$$(3x^2 \cos2x^3) - (2x \cos2x^2)$$

solomonzelman · Answer

yes, seems as though you are correct...

zepdrix · Answer

Ooo nice job! :)
Looks correct!

Are you using Fundamental Theorem, Part 1 for this type of problem?

solomonzelman · Answer

yes, he is, and did last time

solomonzelman · Answer

look, he is quick, in my prof on that perv. prob, lol.

anonymous · Answer

yes zepdrix I am. Actually SolomonZelman taught me how to do it. Thanks again! Guess I really do understand it now. Really thank you SO MUCH!

solomonzelman · Answer

sure, whatever and whenever I could....

solomonzelman · Answer

good work.

solomonzelman · Answer

I got to go, but I see there are many people who can help and verify stuff for you, and better than me....
have a good night (I guess you are in US as well)
bye