Second Fundamental theorem of calculus
Theorem 3.20 (Second Foundamental Theorem of Calculus)
Let f be a continuous function on [a,b] and F any function on [a,b], differentiable on (a,b), continuous on [a,b] such that for all .
I need to use the second Fundamental theorem of calculus to work out:
Firstly it is clear that tan(2x) is continuous on
To show that F(x) is differentiable is it enough to say that as f(x) is continuous on (0,1) the derivative exists?