Fundamental Theorem of Calculus

[tdwp]

http://img527.imageshack.us/img527/8089/fr2rl4.gif

I know part a is the fundamental theorem of calculus, but I am not quite sure how to manipulate the integral to find part i or part ii.
Part b is again the fundamental theorem of calculus, but I am having a hard time solving for the antiderivative.

 

[matt grime]

What is the statement of the fundamental theorem?

 

[tdwp]

Fundamental Theorem of Calculus:

Let f be a function that is continuous on [a,b].
Part 1: Let F be an indefinite integral or antiderivative of f. Then

Part 2:

is an indefinite integral or antiderivative of f or A'(x) = f(x)

 

[matt grime]

the first link there is not the fundamental theorem of calc.

http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus

if all else fails, JFGI.

Part 2 is what you want so just use it.