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Lecture

# 5.3 Integration & Anti-derivatives The Fundamental Theorem of Calculus Question #4 (Medium)

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Mathematics
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MAT136H1
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5.3 Integration & Anti-derivatives The Fundamental Theorem of Calculus Question #4 (Medium): Finding the Derivative of the Function Strategy Notice that the Fundamental Theorem of Calculus Part 1 has ( ) ∫ ( ) , where the integral goes from a numeric value of to a variable . This means that only one endpoint of the interval is a variable. Two complex variations to this are: 1) One end containing a more complex function instead a simple : Then use Leibniz notation and substitute a simpler variable. Apply the Chain Rule in conjunction with the Fundamental Theorem of Calculus Part 1 to find the derivative of the function. 2) Both ends of the integral contain some kind of variable
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