Question

anyone good in calculus please help and explain step by step.

Answer 1

\[evaluate \lim_{x \rightarrow 2}\frac{ \int\limits_{2}^{x} \frac{ 1}{ t^3+1 } }{ x-2 }\]

Answer 2

use l'hopital

Answer 3

what is that

Answer 4

\[\lim_{x\to 2}\frac{f(x)}{g(x)}=\lim_{x\to 2}\frac{f'(x)}{g'(x)}\]

Answer 5

i dont what i did but i get zero for answer

Answer 6

seems unlikely to me

Answer 7

so i wanted to check if that is right

Answer 8

take the derivative of the top
take the derivative of the bottom
replace \(x\) by \(2\) and you will have your answer

Answer 9

ok i get zero

Answer 10

really?
what is the derivative of
\[\int_2^x\frac{1}{t^3+1}dt\]?