Fundamental Theorem of Calculus

We can represent this idea with the notation:

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Define the Fundamental Theorem of Calculus (in your own words)

The notation F(x) represents...

• The antiderivative of F'(x)

• The derivative of f(x)

• The antiderivative of f(x)

• The antiderivative of f'(x)

This is the same as

• F(b)-F(a)

• F(a)-F(b)

What is this asking you to do?

• Find F(4)-F(1)

• All of the above

What does b represent in this expression?

• Upper limit of integration

• Lower limit of integration

What does a represent in this expression?

• Upper limit of integration

• Lower limit of integration

Label a and b (limits of integration) for f(x) below