Question

Could you help me find the derivative of this logarithmic function? (problem below)

Answer 1

\[g(x)=\int\limits_{1}^{\ln x}(t^2+3)dt\]

Answer 2

ummmm it looks like an integral!

Answer 3

Yeah, I know. But it said to find the derivative.

Answer 4

So would I just plug in lnx and 1?

Answer 5

shouldn't it be \[f(t)\int\limits_{1}^{lnt}(t ^{2}+3)dt\]

Answer 6

Yeah, sorry.

Answer 7

It's just a variable.

Answer 8

So do I just use the second fundamental theorem of calculus?

Answer 9

with this notation yes......i don't understand why they would tell you to find the dervative with integral notation

Answer 10

I don't know, but thanks. :D

Answer 11

no prob