Fundamental Theorem of Calculus Mistake to Avoid (FTC Part 2)
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YouTubeUnderstand The Math
Fundamental Theorem of Calculus Mistake to Avoid (FTC Part 2)
This quick calculus short explains why the Fundamental Theorem of Calculus Part 2 cannot be used when the function is not continuous on the interval of integration. In this example, the function f(x) = 1/x^2 is discontinuous at x = 0 on the interval [-1, 2], so applying the FTC gives an impossible negative answer. Always check continuity first ...
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