THE SECOND FUNDAMENTAL THEOREM OF CALCULUS : If f is continuous on an open interval I containing a, then, for every x in the interval, \"\"

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The integration function is \"\".

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Apply derivative each side with respect to x.

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\"\"

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Let \"\", and apply the Second Fundamental Theorem of Calculus with the Chain Rule as shown.

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Apply Chain Rule :

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\"\"

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Substitute \"\".

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\"\"

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Apply the Second Fundamental Theorem of Calculus :

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