How do you use the second fundamental theorem of Calculus to find the derivative of given #int cos(sqrt( t))dt# from #[6, x]#?
1 Answer
Mar 15, 2016
See the explanation below.
Explanation:
The second Fundamental Theorem of Calculus (a.k.a The Fundamental Theorem of Calculus, Part 2) tells us that
where
That is, where
Now,
Therefore,
# = d/dx(F(x)) - 0#
# = F'(x) = f(x) = cos(sqrt(x))#
Note that I did not find an expression for