How do you use the second fundamental theorem of Calculus to find the derivative of given #int 1/(t^5) dt# from #[1,x]#?
You could either evaluate the integral and then differentiate or reason as follows:
The Second Fundamental Theorem of Calculus says that
In this case we are using the variable
We want the derivative of
Note that since we are asked about the interval
And there is our answer. The derivative of