I'm asked to state the fundamental theorem of calculus, and use it to show that
d/dx
integral from x to tan x .
I've been trying to use the wikipedia definition:
Fundamental theorem of calculus - Wikipedia, the free encyclopedia
So I have f(t)=1/(1+t^2)
a = x, b= tan x
But what do I use for the F(x)?
Or is one supposed to use some corrollary?
And to 'show something using the Fun. Theorem of Caculus', does one simply say: "Thus, by the Fundamental Theorem of Calculus.. qed."?