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[Webinar Slides] Advanced distribution management system integration of renewables and storage
Integration Slides
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MAC Wo rkshop: Integration Review Let y = f (x). (i) Then d dx [f (x)] = f 0 (x) is the derivative of f with respect to x, found by applying various di¤erentiation formulae. (i i) And R f (x) dx = F (x) + C is the antiderivative of f with respect to x, found by applying various integration techniques. Geometrically (i) f 0 (a) is the slope of the line tangent to the curve y = f (x) at the point x = a. (ii) b R a f (x) dx is the area between the curve y = f (x) and the x-axis from x = 0 to x = a. Fundamental Theorem of Calculus If f is continuous on the …nite interval [a; b], then b R a f (x) dx = F (x) j b a = F (b) F (a) where F is an antiderivative of f
Transcript of Integration Slides
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