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How do I take the derivative of the function
\[g(x)=\int\limits_{x}^{x^2}(t^2-5)/(t^2+2)dt\]

How exactly does it cancel out?

hmmm..... you might have a point, I failed to recognize the variables....

So.. how would you do it?

can we get the integrand into a sum of terms?

dunno if a trig substitution would be useful: t = sqrt(2) tan(a)

Idk.. I'm just totally lost on this question. So I substitute the t's for x's?

Or do I substitute the t^2 in?

Lol ok. Thank you for your help though :)

No.. I think I'm gonna stay after school.

mother just told me she is picking me up. i have NO idea why. i want to stay too..

Just stay.. find a ride home.

Wow.. That's a whole lot..

myins here....now ill now what Im doing wrong ;)

g'(x)=2x[(x^4-5)/(x^4+2)]-(x^2-5)/(x^2+2)

any questions?

we dont need to integrate to find the derivative of the integral

......thats what I thought :) but those x..x^2 things threw me for a loop

lol where did you get all of those fans? I'm so jealous

they were having a sale at pier1 ;)

damn i missed it :(

i think he lefted :(

maybe, but the math remained lol

true im going to go play call of duty now peace