# Fundamental Theorem of Calculus

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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.

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matt grime
Homework Helper
What is the statement of the fundemental theorem?

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)