How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #h(x)=int_4^(1/x) arctan(3t) dt#?
If we think of
then the function
To find the derivative with respect to
By the chain rule:
By FTC 1,
So we have:
Note that, the end result is that the derivative w.r.t.