Integrate and evaluate at the limits. Since the upper limit is t, the result of the integration will be a function of t. Then differentiate.
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 since the derivative of 1/x is ln|x| would it be ?
thanks!