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F UNDAMENTAL T HEOREM OF CALCULUS 4-B
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Fundamental Theorem of Calculus If f(x) is continuous at every point [a, b] And F(x) is the antiderivative of f(x) on [a, b] then Upper bound – lower bound
![Fundamental Theorem of Calculus If f(x) is continuous at every point [a, b] And F(x) is the antiderivative of f(x) on [a, b] then Upper bound – lower bound](http://images.slideplayer.com/33/8262706/slides/slide_2.jpg "Fundamental Theorem of Calculus If f(x) is continuous at every point [a, b] And F(x) is the antiderivative of f(x) on [a, b] then Upper bound – lower bound")
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1) Evaluate Calculator Integration: The calculator can be used to find the value of a definite integral from a to b by using the calculate menu or in the math menu.
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2) Evaluate
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3) Evaluate
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Fundamental Theorem of Calculus Since, it follows that This means a function value at an endpoint can be found as a starting value plus a definite integral
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4)If find f(2) without a calculator
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Properties of Definite Integrals
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5) Evaluate
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Even and Odd Functions
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Second Fundamental Theorem of Calculus If f(x) is continuous on [a, b] Then the derivative of the function
![Second Fundamental Theorem of Calculus If f(x) is continuous on [a, b] Then the derivative of the function](http://images.slideplayer.com/33/8262706/slides/slide_11.jpg "Second Fundamental Theorem of Calculus If f(x) is continuous on [a, b] Then the derivative of the function")
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6) Find 7) Find
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8) Find
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9) Find the slope of the function
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H OME W ORK Worksheet on FTC
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