this is the derivative WRT t of the integral from 1 to t of f(x) WRT x

WRT=with respect to

this is asking 'what is the derivative or rate of change WRT t of the function you took the derivative of WRT x to get 1/(x^3+x+1)'

am i reading this right? and if so what is the procedure to solve it?

I think anti-derive the expression (x^3+x+1)^(-1) WRT x and then evaluate that at t and then take it's derivative WRT t.

Am I on the right track?

also how would I find the anti-derivative of $\displaystyle (x^3+x+1)^-1$ since the derivative of 1/x is ln|x| would it be $\displaystyle ln|3x^2+1|$?

thanks!